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Department of Mathematical Physics

Staff

Volovich Igor Vasil'evich Doctor Phys.-Math. Sci., Corresponding Member of RAS, Head of Department, Chief Scientific Researcher office: 435; tel.: +7 (495) 984 81 41 * 37 81; e-mail: volovich@mi-ras.ru Principal fields of research: Mathematical physics. p-Adic analysis. Including mathematical problems in quantum field theory. String theory. Gravity. Quantum information. Quantum optics. List of publications
Gushchin Anatolii Konstantinovich Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher office: 434; tel.: +7 (495) 984 81 41 * 39 34; e-mail: akg@mi-ras.ru Principal fields of research: Boundary-value problems for differential equations List of publications
Drozhzhinov Yurii Nikolaevich Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher office: 433; tel.: +7 (495) 984 81 41 * 37 80; e-mail: drozzin@mi-ras.ru Principal fields of research: Generalized functions. Integral transforms in distributions spaces. Fourier analysis. Laplace transform. Operational calculi. Differentional equations. List of publications
Zharinov Viktor Viktorovich Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher office: 433; tel.: +7 (495) 984 81 41 * 37 80; e-mail: zharinov@mi-ras.ru Principal fields of research: Complex analysis. Hyperfunctions. Integral representations. Algebraic and geometric methods in partial differential equations. Mathematical methods in quantum theory. List of publications
Katanaev Mikhail Orionovich Doctor Phys.-Math. Sci., Leading Scientific Researcher office: 428; tel.: +7 (495) 984 81 41 * 36 62; e-mail: katanaev@mi-ras.ru Principal fields of research: Ddifferential geometry. Gravity models. Geometric theory of defects. List of publications
Kozyrev Sergei Vladimirovich Doctor Phys.-Math. Sci., Leading Scientific Researcher office: 428; tel.: +7 (495) 984 81 41 * 39 12; e-mail: kozyrev@mi-ras.ru Principal fields of research: Ultrametric and p-adic analysis and applications in physics and biology, quantum probability and applications in physics, stochastic limit of quantum theory. List of publications
Marchuk Nikolai Gur'evich Doctor Phys.-Math. Sci., Leading Scientific Researcher office: 434; tel.: +7 (495) 984 81 41 * 39 12; e-mail: nmarchuk@mi-ras.ru Personal page: http://www.mi-ras.ru/~nmarchuk Principal fields of research: Relativistic equations of quandum physics. Dirac equation. Yang–Mills equation. Einstein equation. Clifford algebras and differential forms. List of publications
Trushechkin Anton Sergeevich Candidate Phys.-Math. Sci., Senior Scientific Researcher office: 429; tel.: +7 (495) 984 81 41 * 36 62; e-mail: trushechkin@mi-ras.ru Principal fields of research: Foundations of statistical mechanics and kinetics, Loschmidt's paradox, quantum dynamics in bounded domains, quantum cryptography. List of publications

Dezin Aleksei Alekseevich (23.04.1923 – 4.03.2008) Doctor Phys.-Math. Sci. Principal fields of research: Partial differential equations. Functional analysis. Discrete models. List of publications
Mikhailov Valentin Petrovich (15.12.1930 – 07.07.2014) Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher Principal fields of research: Boundary-value problems for partial differential equations. Stabilization of solutions for non-stationary problems and the behaviour of solutions near the boundary. List of publications
Vladimirov Vasilii Sergeevich (9.01.1923 – 3.11.2012) Doctor Phys.-Math. Sci., Academician of RAS Principal fields of research: Equations and models of mathematical physics. Distributions. Functions of several complex variables. Many-dimentional tauberian theory. $p$-Adic analysis. Number theory. Numerical methods. Quantum field theory. List of publications
Zavialov Boris Ivanovich (18.12.1946 – 31.07.2012) Doctor Phys.-Math. Sci., Professor Principal fields of research: Generalized functions. Integral transforms. Differential equations. Tauberian theorems. Complex analysis. List of publications

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Seminars

Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS

Seminar Chair: I. V. Volovich; Seminar Secretary: S. V. Kozyrev

Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)

Complex analysis and mathematical physics

Seminar Chairmen: A. G. Sergeev; A. V. Domrin

Steklov Mathematical Institute, Room 430 (8 Gubkina)

Seminar Chair: A. K. Gushchin; Seminar Secretary: V. V. Zharinov

Mathematical problems of quantum theory of nanosystems and photosynthesis

Organizers: S. V. Kozyrev; A. S. Trushechkin; I. V. Volovich

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History of the Department

The Department of Mathematical Physics was founded in 1969 by Academician of the USSR Academy of Sciences Prof. V. S. Vladimirov. The first research staff of the Department included several members from the Department of Theoretical Physics (S. S. Khoruzhii and B. M. Stepanov) and from the Department of Differential Equations (V. P. Mikhailov, A. A. Dezin, V. N. Maslennikova, V. S. Vinogradov, and PhD student A. K. Gushchin) of the Steklov Mathematical Institute. In 1970 the Laboratory of Partial Differential Equations was founded in the Department under the direction of V. P. Mikhailov.

Now the research staff of the Department includes 10 permanent researchers: Corresponding Member of the Russian Academy of Sciences Prof. I. V. Volovich (Head of the Department), Professors Yu. N. Drozhzhinov, A. K. Gushchin, M. O. Katanaev, S. V. Kozyrev, N. G. Marchyuk, A. N. Pechen, A. G. Sergeev, V. V. Zharinov, and Dr. A. S. Trushechkin. PhD student: N. B. Il'in.

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Research Directions

The main current research directions at the Department are the following:

P-adic mathematical physics (V. S. Vladimirov, I. V. Volovich, S. V. Kozyrev, E. I. Zelenov),
Quantum information and theory of open quantum systems (I. V. Volovich, S. V. Kozyrev, A. N. Pechen, A. S. Trushechkin),
Boundary value problems for equations of mathematical physics, including non-local equations (V. S. Vladimirov, A. K. Gushchin, V. P. Mikhailov),
Multidimensional complex analysis, multidimensional and one-dimensional Tauberian theory for distributions (Yu. N. Drozhzhinov, B. I. Zavialov),
Applications of the multidimensional complex analysis to quantum field theory and gauge field theory (A. G. Sergeev, R. V. Palvelev),
Algebro-geometric approach to differential equations (V. V. Zharinov),
Gravity models and the geometric theory of defects (M. O. Katanaev),
Mathematical models in biology (I. V. Volovich, S. V. Kozyrev),
Equations of relativistic field theory, Dirac equation, Clifford algebras (N. G. Marchyuk),
Kinetic theory and non-equilibrium processes, Loschmidt's paradox, quantum mechanics in bounded domains, mathematical theory of nanosystems (I. V. Volovich, S. V. Kozyrev, A. N. Pechen, A. S. Trushechkin),
Quantum control (A. N. Pechen).

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Main Results

The most fundamental results obtained by the Department's members include:

Proof and application in the axiomatic field theory of the Bogolyubov-Vladimirov 'finite covariance' theorem (N. N. Bogolyubov, V. S. Vladimirov);
Proof of the theorem on the C-convex hull (V. S. Vladimirov);
Development of p-adic mathematical physics, including p-adic quantum mechanics and p-adic string theory (V. S. Vladimirov, I. V. Volovich, S. V. Kozyrev, E. I. Zelenov);
Derivation of necessary and sufficient conditions for automodel asymptotic in quantum field theory (N. N. Bogolyubov, V. S. Vladimirov);
Development of Tauberian theory for distributions of many variables (V. S. Vladimirov, Yu. N. Drozhzhinov, B. I. Zavialov);
Development of the geometric theory of defects in solids (I. V. Volovich, M. O. Katanaev);
Construction of the master field describing the limit of the large gauge group in gauge theory (I. V. Volovich);
Construction of new solutions of non-linear partial differential equations of supergravity. Estimation of the probability of the creation of black holes and wormholes in the high energy scattering of particles (I. V. Volovich);
Derivation of a necessary and sufficient condition for the existence of a mean square limit at the boundary of solutions of linear second-order ellyptic differential equations (V. P. Mikhailov);
Proof of the theorems on the stabilization and quasistabilization for long times of the solutions of boundary value problems for linear parabolic and hyperbolic second-order differential equations (A. K. Gushchin, V. P. Mikhailov);
Proof of a compact version of the extended future tube conjecture (A. G. Sergeev, jointly with German mathematician P. Heinzner). Later a student of A. G. Sergeev, Chinese mathematician Zhou Xiangyu proved this conjecture in the general setting;
Twistor quantization of loop spaces of compact Lie groups (A. G. Sergeev, some results were obtained jointly with A. Popov and Bulgarian mathematician J. Davidov) and quantization of the universal Teichmueller space (A. G. Sergeev);
Mathematical description of the adiabatic limit in the Ginzburg-Landau and Seiberg-Witten equations (A. G. Sergeev);
Unification and extension in terms of a special functional space of the fundamental properties (such as belonging to a corresponding local Sobolev space and Holder continuity) of generalized solutions of linear second-order elliptic equations with measurable and bounded coefficients. Derivation of global estimates for the solution of the Dirichlet problem with a quadratically integrable boundary function which describe its behavior near the boundary (A. K. Gushchin);
Classification of global solutions of equations for two-dimensional gravity (M. O. Katanaev);
Construction of a deductive scheme of quantum mechanics on a line (A. A. Dezin);
Development of the theory of p-adic wavelets and applications of p-adic analysis in the theory of spin glasses and other complex systems (S. V. Kozyrev);
Generalization of the Dirac equation possessing an additional symmetry with respect to the pseudo-unitary, symplectic, or spinor group (N. G. Marchyuk);
Derivation of equations for higher order corrections to the stochastic weak coupling limit of open quantum systems (I. V. Volovich and A. N. Pechen);
Development of a quantum white noise technique for the analysis of the low density limit for open quantum systems (A. N. Pechen, in part jointly with L. Accardi and I. V. Volovich);
Proof of the existence of second order traps for a wide class of quantum control systems (A. N. Pechen and D. J. Tannor).

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Books written by the Department's members

V. S. Vladimirov: Mathematical Problems of the Uniform-Speed Theory of Transport (in Russian).; Moscow, Izdat. Akad. Nauk SSSR, 1961, 158 pp. (Trudy Mat. Inst. Steklov., Vol. 61)
V. S. Vladimirov: Methods in the Theory of Functions of Several Complex Variables (in Russian).; Moscow, Nauka, 1964, 411 pp.
V. S. Vladimirov: Equations of Mathematical Physics (in Russian).; Moscow, Nauka, 1967, 436 pp.; Ibid., 2nd ed., Recasted and revised, Moscow, Nauka, 1971, 512 pp.; Ibid., 3rd ed., Moscow, Nauka, 1976, 527 pp.; Ibid., 4th ed., Edited and extended, Moscow, Nauka, 1981, 512 pp.; Ibid., 5th ed., Extended, Moscow, Nauka, 1988, 512 pp.
V. S. Vladimirov: Generalized Functions in Mathematical Physics (in Russian).; Moscow, Nauka, 1976, 280 pp. (in series Current Problems in Physics and Technology); Ibid., 2nd ed., Extended and revised, Moscow, Nauka, 1979, 318 pp.
V. S. Vladimirov: Methods of the Theory of Generalized Functions (in English).; London, Taylor & Francis, 2002, 311 pp. ISBN 0415273560.
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov: P-adic Analysis and Mathematical Physics (in Russian).; Moscow, Nauka, Fiz. Mat. Lit., 1994, 352 pp.
V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov: P-adic Analysis and Mathematical Physics (in English).; World Scientific Pub Co Inc, 1995, 456 pp. ISBN 9810208804.
V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zav'yalov: Multidimensional Tauberian Theorems for Generalized Functions (in Russian).; Moscow, Nauka, 1986, 304 pp.
V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zav'yalov: Tauberian Theorems for Generalized Functions (in English).; Springer, 1988, 308 pp. ISBN 9027723834.
V. S. Vladimirov and V. V. Zharinov: Equations of Mathematical Physics. Textbook (in Russian).; Moscow, Fiz. Mat. Lit., 2000, 399 pp.
V. S. Vladimirov, V. P. Mikhailov, et al.: Collected Problems on Equations of Mathematical Physics. Textbook (in Russian).; Moscow, Nauka, 1974, 272 pp.; Ibid., 2nd ed., Extended and revised, Moscow, Nauka, 1982, 256 pp.; Ibid., 3rd ed., Revised, Moscow, Fiz. Mat. Lit., 2001, 288 pp.
V. S. Vladimirov (Editor): A collection of Problems on the Equations of Mathematical Physics (in English).; Springer, 1986, 288 pp. ISBN 3540166475.
L. Accardi, Y. G. Lu, I. V. Volovich: Quantum Theory and Its Stochastic Limit (in English).; Berlin, Springer-Verlag, 2002.
M. Ohya, I. V. Volovich: Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems (in English).; Springer, 2011.
A. A. Dezin: Invariant Differential Operators and Boundary Value Problems (in Russian).; Moscow, Izdat. Akad. Nauk SSSR, 1962, 88 pp. (Trudy Mat. Inst. Steklov, vol. 68)
A. A. Dezin: General Questions of the Theory of Boundary Value Problems (in Russian).; Moscow, Nauka, 1980, 207 pp.
A. A. Dezin: Multidimensional analysis and discrete models (in Russian).; Moscow, Nauka, 1990, 238 pp.
A. A. Dezin: Differential Operator Equations: A Method of Model Operators in the Theory of Boundary Value Problems (in Russian).; Moscow, Nauka, 2000, 175 pp. (Trudy Mat. Inst. Steklov., Vol. 229).
V. V. Zharinov: Distributive Lattices and their Applications in Complex Analysis (in Russian).; Moscow, Nauka, 1983, 80 pp. (Trudy Mat. Inst. Steklov., 162)
V. V. Zharinov: Lecture Notes on Geometrical Aspects of Partial Differential Equations (in English).; Singapore, World Scientific, 1992. 360 pp. (Ser. on Soviet and East-European Mathematics; Vol. 9)
N. G. Marchuk: Fields Theory Equations and Clifford Algebras (in Russian).; RHD, Moscow-Izhevsk, 302 pages, 2009.
V. P. Mikhailov: Partial Differential Equations. Textbook (in Russian).; Moscow, Nauka, 1976, 391 pp.; Ibid., 2nd ed., Recasted and revised, Moscow, Nauka, 1983, 424 pp.
A. G. Sergeev: Kahler Geometry of Loop Spaces.; Moscow, MCCME, 2001, 128 pp. (Ser. Modern Mathematical Physics, Problems and Methods, Vol. 4)
A. G. Sergeev: Kahler Geometry of Loop Spaces (Nagoya Math. Lectures, vol. 7) (in English).; Nagoya, Nagoya Univ., 2008. 226 pp.
A. G. Sergeev: Kahler Geometry of Loop Spaces (MSJ Memoirs, 23) (in English).; Tokyo, Mathematical Society of Japan, 2010. 212 pp. ISBN: 978-4-931469-60-0.
A. G. Sergeev: Vortices and SeibergВ–Witten equations (Nagoya Math. Lect., vol. 5) (in English).; Nagoya, Nagoya Univ., 2002. 87 pp.
A. V. Domrin, A. G. Sergeev: Lectures on Complex Analysis. Part I.; Steklov Mathematical Institute, Moscow, 2004. ISBN: 5-98419-007-9, http://www.mi.ras.ru/books/pdf/ser1.pdf
A. V. Domrin, A. G. Sergeev: Lectures on Complex Analysis. Part II.; Steklov Mathematical Institute, Moscow, 2004. ISBN: 5-98419-008-7, http://www.mi.ras.ru/books/pdf/ser2.pdf
S. S. Khoruzhii: Introduction to Algebraic Quantum Field Theory.; Moscow, Nauka, 1986, 304 pp.
S. V. Kozyrev: Methods and applications of ultrametric and p-adic analysis: from wavelet theory to biophysics.; Modern Problems of Mathematics, 12, Steklov Math. Inst., Russian Academy of Sciences, Moscow, 2008, 170 pp.

Recent publications

by years

scientific publications

by types


1.	A. K. Gushchin, Mat. Sb. (to appear)
2.	V. V. Zharinov, TMF (to appear)

2020
3.	Yu. N. Drozhzhinov, “On the problem of multidimensional tauberian theory”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birth of Academician Andrei Alekseevich Slavnov, Tr. Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020 (to appear)
4.	I. V. Volovich, Избранные вопросы математики и механики, Tr. Mat. Inst. Steklova, 310, Steklov Math. Inst., Moscow, 2020 (to appear)
5.	M. O. Katanaev, “Nonrelativistic limit of the bosonic string”, Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birth of Academician Andrei Alekseevich Slavnov, Tr. Mat. Inst. Steklova, 309, Steklov Math. Inst. RAS, Moscow, 2020 (to appear)
6.	V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595
7.	N. G. Marchuk, D. S. Shirokov, “On some equations modeling the Yang-Mills equations”, Physics of Particles and Nuclei, 51:4 (2020) (to appear)
8.	N. G. Marchuk, “Model Dirac and Dirac–Hestenes Equations as Covariantly Equipped Systems of Equations”, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunovs Legacy, A liber Amicorum to Professor Godunov, eds. Demidenko, G.V., Romenski, E., Toro, E., Dumbser, M. (Eds.), Springer, 2020, 269–276 https://www.springer.com/gp/book/9783030388690 ; arXiv: 1910.08407
9.	Nikolay G. Marchuk, Dmitry S. Shirokov, “Local Generalization of Paulis Theorem”, Azerb. J. Math., 10:1 (2020), 38–56 , arXiv: 1201.4985 ;
10.	A. S. Trushechkin, “On the operational meaning and practical aspects of using the security parameter in quantum key distribution”, Quantum Electron., 50:5 (2020), 426–439

2019
11.	A. K. Gushchin, “On the Existence of $L_2$ Boundary Values of Solutions to an Elliptic Equation”, Proc. Steklov Inst. Math., 306 (2019), 47–65
12.	A. K. Gushchin, “The boundary values of solutions of an elliptic equation”, Sb. Math., 210:12 (2019), 1724–1752
13.	Yu. N. Drozhzhinov, “Multidimensional Tauberian theorem for holomorphic functions of bounded argument”, Dokl. Math., 100:1 (2019), 389–391
14.	Matematicheskaya fizika i prilozheniya, Sbornik statei. K 95-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 306, ed. I. V. Volovich, M. O. Katanaev, MIAN, M., 2019 , 352 pp.
15.	I. V. Volovich, V. V. Kozlov, “On Maxwell's Equations with a Magnetic Monopole on Manifolds”, Proc. Steklov Inst. Math., 306 (2019), 43–46
16.	I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Proc. Steklov Inst. Math., 306 (2019), 1–8
17.	Irina Arefeva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “Replica-nondiagonal solutions in the SYK model”, JHEP, 2019 (2019), 113 , 59 pp., arXiv: 1811.04831 (cited: 3) (cited: 4)
18.	I. Ya. Aref'eva, I. V. Volovich, M. A. Khramtsov, “Revealing nonperturbative effects in the SYK model”, Theoret. and Math. Phys., 201:2 (2019), 1583–1603
19.	V. I. Bogachev, I. V. Volovich, B. S. Kashin, V. V. Kozlov, V. P. Maslov, V. A. Sadovnichii, A. M. Stepin, V. M. Tikhomirov, A. Yu. Khrennikov, E. T. Shavgulidze, “Oleg Georgievich Smolyanov (on his 80th birthday)”, Russian Math. Surveys, 74:4 (2019), 771–773
20.	I. Arefeva and I. Volovich, Gas of baby universes in JT gravity and matrix models, 2019 , 30 pp., arXiv: 1905.08207
21.	Igor V. Volovich, Remarks on the complete integrability of quantum and classical dynamical systems, 2019 , 15 pp., arXiv: 1911.01335
22.	Irina Aref'eva, Igor Volovich, “Spontaneous symmetry breaking in fermionic random matrix model”, JHEP, 2019 (2019), 114 , 12 pp., arXiv: 1902.09970 (cited: 2) (cited: 2)
23.	Igor V. Volovich, “Complete integrability of quantum and classical dynamical systems”, P-Adic Numbers Ultrametric Anal. Appl., 11:4 (2019), 328–334 ;
24.	S. V. Kozyrev, “Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser”, Proc. Steklov Inst. Math., 306 (2019), 145–156
25.	Sergei V. Kozyrev, “Code Biology and Kolmogorov Complexity”, Advances in Artificial Systems for Medicine and Education II. AIMEE2018 2018., International Conference of Artificial Intelligence, Medical Engineering, Education (6-8 October, Moscow, Russia), Adv. Intell. Syst. Comput., 902, eds. Hu Z., Petoukhov S., He M., Springer, 2019, 93–101 ;
26.	M. O. Katanaev, “Gauge Parameterization of the $n$-Field”, Proc. Steklov Inst. Math., 306 (2019), 127–134
27.	D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant”, Phys. Rev. D, 100:2 (2019)
28.	V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937
29.	V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101
30.	N. G. Marchuk, “A Generalization of the Yang–Mills Equations”, Proc. Steklov Inst. Math., 306 (2019), 157–177
31.	M. K. Bochkov, A. S. Trushechkin, “Security of quantum key distribution with detection-efficiency mismatch in the single-photon case: Tight bounds”, Phys. Rev. A, 99:3 (2019), 32308 , 15 pp., arXiv: 1810.04663 (cited: 3) (cited: 3)
32.	A. S. Trushechkin, “Dynamics of Reservoir Observables within the Zwanzig Projection-Operator Method in the Theory of Open Quantum Systems”, Proc. Steklov Inst. Math., 306 (2019), 257–270
33.	V. E. Rodimin, E. O. Kiktenko, V. V. Usova, M. Y. Ponomarev, T. V. Kazieva, A. V. Miller, A. S. Sokolov, A. A. Kanapin, A. V. Losev, A. S. Trushechkin, M. N. Anufriev, N. O. Pozhar, V. L. Kurochkin, Y. V. Kurochkin, A. K. Fedorov, “Modular quantum key distribution setup for research and development applications”, J. Russian Laser Research, 40:3 (2019), 221–229 , arXiv: 1612.04168
34.	Anton Trushechkin, “Calculation of coherences in Förster and modified Redfield theories of excitation energy transfer”, J. Chem. Phys., 151:7 (2019), 074101 , arXiv: 1902.00554 (cited: 2) (cited: 2)
35.	Math. Notes, 106:6 (2019), 986–993
36.	A. S. Trushechkin, “Higher-order Corrections to the Redfield Equation with Respect to the System-bath Coupling Based on the Hierarchical Equations of Motion”, Lobachevskii J. Math., 40:10 (2019), 1606–1618

2018
37.	A. K. Gushchin, “The Luzin area integral and the nontangential maximal function for solutions to a second-order elliptic equation”, Sb. Math., 209:6 (2018), 823–839 (cited: 3) (cited: 1)
38.	A. K. Gushchin, “A Criterion for the Existence of $L_p$ Boundary Values of Solutions to an Elliptic Equation”, Proc. Steklov Inst. Math., 301 (2018), 44–64 (cited: 2) (cited: 1)
39.	Yu. N. Drozhzhinov, “Asymptotically Homogeneous Generalized Functions and Some of Their Applications”, Proc. Steklov Inst. Math., 301 (2018), 65–81
40.	I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, Theoret. and Math. Phys., 197:2 (2018), 1650–1662 (cited: 8) (cited: 6)
41.	Irina Aref'eva, Igor Volovich, Notes on the SYK model in real time, 2018 , 18 pp., arXiv: 1801.08118
42.	I. V. Volovich, V. Zh. Sakbaev, “On Quantum Dynamics on $C^*$-Algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38 (cited: 1) (cited: 1)
43.	S.V. Kozyrev, I.V. Volovich, “Dark states in quantum photosynthesis”, Trends in Biomathematics: Modeling, Optimization and Computational Problems, Proceedings of BIOMAT 2017 Conference (Institut vychislitelnoi matematiki RAN, Moskva, 30 oktyabrya –3 noyabrya 2017 g), eds. R.P. Mondaini, Springer, Berlin, 2018, 13-26 , arXiv: 1603.07182
44.	I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemtsev, “Evolution of holographic entropy quantities for composite quantum systems”, Theoret. and Math. Phys., 197:3 (2018), 1838–1844
45.	Irina Aref'eva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “On replica-nondiagonal large $N$ saddles in the SYK model”, 20th International Seminar on High Energy Physics (QUARKS-2018) (Valday, Russia, 27 May - 02 June, 2018), EPJ Web of Conf., 191, 2018, 6007 , 8 pp. (cited: 3) (cited: 3)
46.	V. S. Anashin, B. Dragovich, A. N. Kochubei, S. V. Kozyrev, and I. V. Volovich, “Andrei Yurievich Khrennikov and his Research”, P-Adic Numbers Ultrametric Anal. Appl., 10:4 (2018), 344–347
47.	Yuta Mitome, Satoshi Iriyama, Keiko Sato, Igor V. Volivich, “Efficient Energy Transfer in Network Model of Photosynthesis”, Quantum Foundations, Probability and Information, STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health, 2018, 59–69
48.	S. V. Kozyrev, “Quantum Transport in Degenerate Systems”, Proc. Steklov Inst. Math., 301 (2018), 134–143 (cited: 3) (cited: 3)
49.	A.Yu. Khrennikov, S.V. Kozyrev, W.A. Zuniga-Galindo, Ultrametric Pseudodifferential Equations and Applications, Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge, UK, 2018 , 250 pp.
50.	S. V. Kozyrev, “Biology as a constructive physics”, P-Adic Numbers Ultrametric Anal. Appl., 10:4 (2018), 305–311 , arXiv: 1804.10518 (cited: 1)
51.	M. O. Katanaev, “Chern–Simons Action and Disclinations”, Proc. Steklov Inst. Math., 301 (2018), 114–133 (cited: 2) (cited: 1)
52.	Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Tr. MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK «Nauka/Interperiodika», M., 2018 , 335 pp.
53.	M. O. Katanaev, Lekts. Kursy NOC, 29, 2018, 3–364
54.	M. O. Katanaev, “Description of Disclinations and Dislocations by the Chern–Simons Action for $SO(3)$-Connection”, Phys. Part. Nucl., 49:5 (2018), 890–893
55.	V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108 (cited: 2) (cited: 1)
56.	V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956
57.	N. G. Marchuk, Uravneniya teorii polya i algebry Klifforda, Izd. 2-e, rassh. i dop., LENAND, M., 2018 , 344 pp. http://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Book&id=226125
58.	N. G. Marchuk, “Classification of extended Clifford algebras”, Russian Math. (Iz. VUZ), 62:11 (2018), 23–27 , arXiv: 1611.07684 (cited: 2) (cited: 2)
59.	A. S. Trushechkin, P. A. Tregubov, E. O. Kiktenko, Yu. V. Kurochkin, A. K. Fedorov, “Quantum-key-distribution protocol with pseudorandom bases”, Phys. Rev. A, 97:1 (2018), 12311 , 15 pp., arXiv: 1706.00611 (cited: 3) (cited: 3)
60.	A. S. Trushechkin, “Finding Stationary Solutions of the Lindblad Equation by Analyzing the Entropy Production Functional”, Proc. Steklov Inst. Math., 301 (2018), 262–271 (cited: 4) (cited: 3)
61.	Mario Pulvirenti, Sergio Simonella, Anton Trushechkin, “Microscopic solutions of the Boltzmann-Enskog equation in the series representation”, Kinet. Relat. Models, 11:4 (2018), 911–931 , arXiv: 1802.05926
62.	E. O. Kiktenko, N. O. Pozhar, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, Yu. V. Kurochkin, A. I. Lvovsky, A. K. Fedorov, “Quantum-secured blockchain”, Quantum Sci. Technol., 3:3 (2018), 35004 , 8 pp., arXiv: 1705.09258 (cited: 30) (cited: 27)
63.	P. A. Tregubov, A. S. Trushechkin, “Quantum Stream Ciphers: Impossibility of Unconditionally Strong Algorithms”, Quantum probability, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 151, VINITI, Moscow, 2018, 91–104
64.	A. K. Fedorov, E. O. Kiktenko, A. S. Trushechkin, “Symmetric Blind Information Reconciliation and Hash-function-based Verification for Quantum Key Distribution”, Lobachevskii J. Math., 39:7 (2018), 992–996 , arXiv: 1705.06664 (cited: 4) (cited: 3)

2017
65.	S. V. Kozyrev, A. A. Mironov, A. E. Teretenkov, I. V. Volovich, “Flows in nonequilibrium quantum systems and quantum photosynthesis”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:4 (2017), 1750021 , 19 pp. (cited: 4) (cited: 10) (cited: 10)
66.	I. Ya. Aref'eva, I. V. Volovich, O. V. Inozemcev, “Holographic control of information and dynamical topology change for composite open quantum systems”, Theoret. and Math. Phys., 193:3 (2017), 1834–1843 (cited: 1) (cited: 1)
67.	I. Ya. Aref'eva, G. S. Djordjevic, A. Yu. Khrennikov, S. V. Kozyrev, Z. Rakic, I. V. Volovich, “p-Adic mathematical physics and B. Dragovich research”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 82–85 (cited: 1) (cited: 1)
68.	B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, E. I. Zelenov, “p-Adic Mathematical Physics: The First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121 , arXiv: 1705.04758 (cited: 21) (cited: 25)
69.	V. Zh. Sakbaev, I. V. Volovich, “Self-adjoint approximations of the degenerate Schrödinger operator”, P-Adic Numbers Ultrametric Anal. Appl., 9:1 (2017), 39–52 , arXiv: 1701.02777 (cited: 3) (cited: 3)
70.	M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668 (cited: 7) (cited: 3)
71.	M. O. Katanaev, “Chern–Simons term in the geometric theory of defects”, Phys. Rev. D, 96 (2017), 84054 , 8 pp. (cited: 3) (cited: 4)
72.	M. O. Katanaev, “Mathematical foundations of general relativity. Part 1”, Mathematical foundations of general relativity. Part 1, Lekts. Kursy NOC, 28, Steklov Math. Institute of RAS, Moscow, 2017, 3–312

2018
73.	M. O. Katanaev, “Normal coordinates in affine geometry”, Lobachevskii Journal of Mathematics, 39:3 (2018), 464–476

2017
74.	V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349 (cited: 5) (cited: 3)
75.	V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736 (cited: 2) (cited: 2)

2019
76.	A. S. Trushechkin, “On general production of entropy in open Markov quantum systems”, Journal of Mathematical Sciences, 241:2 (2019), 191–209
77.	E. A. Markevich, A. S. Trushechkin, “Quantum branch-and-bound algorithm and its application to the travelling salesman problem”, Journal of Mathematical Sciences, 241:2 (2019), 168–184

2017
78.	A. S. Trushechkin, E. O. Kiktenko, A. K. Fedorov, “Practical issues in decoy-state quantum key distribution based on the central limit theorem”, Phys. Rev. A, 96:2 (2017), 022316 , 7 pp., arXiv: 1702.08531 (cited: 8) (cited: 8)
79.	E. O. Kiktenko, N. O. Pozhar, A. V. Duplinskiy, A. A. Kanapin, A. S. Sokolov, S. S. Vorobey, A. V. Miller, V. E. Ustimchik, M. N. Anufriev, A. S. Trushechkin, R. R. Yunusov, V. L. Kurochkin, Yu. V. Kurochkin, A. K. Fedorov, “Demonstration of a quantum key distribution network in urban fibre-optic communication lines”, Quantum Electron., 47:9 (2017), 798–802 (cited: 10) (cited: 9)
80.	E. O. Kiktenko, A. S. Trushechkin, S. S. W. Lim, Y. V. Kurochkin, A. K. Fedorov, “Symmetric blind information reconciliation for quantum key distribution”, Physical Review Applied, 8 (2017), 44017 , 12 pp., arXiv: 1612.03673 (cited: 17) (cited: 15)
81.	Anton Trushechkin, “Semiclassical evolution of quantum wave packets on the torus beyond the Ehrenfest time in terms of Husimi distributions”, J. Math. Phys., 58:6 (2017), 62102 , 16 pp., arXiv: 1607.07572 (cited: 6) (cited: 6)

2016
82.	A. K. Gushchin, “$L_p$-estimates for the nontangential maximal function of the solution to a second-order elliptic equation”, Sb. Math., 207:10 (2016), 1384–1409 (cited: 13) (cited: 6)
83.	Yu. N. Drozhzhinov, “Multidimensional Tauberian theorems for generalized functions”, Russian Math. Surveys, 71:6 (2016), 1081–1134 (cited: 10) (cited: 11)
84.	Igor V. Volovich, “Cauchy–Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light”, Phys. Lett. A, 380:1 (2016), 56–58 (cited: 3) (cited: 12) (cited: 2)
85.	A. S. Trushechkin, I. V. Volovich, “Perturbative treatment of inter-site couplings in the local description of open quantum networks”, EPL, 113:3 (2016), 30005 , 6 pp., arXiv: 1509.05754 (cited: 5) (cited: 51) (cited: 50)
86.	Irina Aref'eva, Igor Volovich, Holographic photosynthesis, 2016 , 36 pp., arXiv: 1603.09107
87.	I. V. Volovich, “Group theory, probability, the structure of spacetime and V. S. Varadarajan”, P-Adic Numbers Ultrametric Anal. Appl., 8:1 (2016), 1
88.	I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251 (cited: 19) (cited: 14)
89.	S. V. Kozyrev, “Model of protein fragments and statistical potentials”, P-Adic Numbers Ultrametric Anal. Appl., 8:4 (2016), 325–337 , arXiv: 1504.03940 (cited: 1) (cited: 1) (cited: 1)
90.	A. N. Nekrasov, A. A. Zinchenko, D. M. Karlinskii, S. V. Kozyrev, “Metod issledovaniya ierarkhicheskikh elementov v prirodnykh aminokislotnykh posledovatelnostyakh”, Uspekhi sovremen. estestvozn., 2016, no. 11, 242–248
91.	M. O. Katanaev, Geometrical methods in mathematical physics, Manuscript in Russian. Extended version of lectures delivered at the Academic Educational Center at Steklov Mathematical Institute during seven semesters, 2016 , xvi+1570 pp., arXiv: 1311.0733v3
92.	M. O. Katanaev, “Rotational elastic waves in a cylindrical waveguide with wedge dislocation”, J. Phys. A, 49:8 (2016), 85202 , 8 pp. (cited: 2) (cited: 1)
93.	M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700 (cited: 19) (cited: 9)
94.	V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692 (cited: 18) (cited: 9)
95.	N.G. Marchuk, D.S. Shirokov, “General solutions of one class of field equations”, Rep. Math. Phys., 78:3 (2016), 305–326 , arXiv: 1406.6665 (cited: 13) (cited: 12)
96.	N. G. Marchuk, D. S. Shirokov, “Constant solutions of Yang-Mills equations and generalized Proca equations”, J. Geom. Symmetry Phys., 42 (2016), 53–72 , arXiv: 1611.03070 (cited: 5) (cited: 5)
97.	Evgeny Kiktenko, Anton Trushechkin, Yury Kurochkin, Aleksey Fedorov, “Post-processing procedure for industrial quantum key distribution systems”, JPCS, 741:1 (2016), 12081 , 6 pp. (cited: 15) (cited: 15)

2015
98.	M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 2, Lekts. Kursy NOC, 26, Steklov Math. Institute of RAS, Moscow, 2015 , 186 pp.
99.	M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 1, Lekts. Kursy NOC, 25, Steklov Math. Institute of RAS, Moscow, 2015 , 176 pp.
100.	A. K. Gushchin, “V.A. Steklov's Work on Equations of Mathematical Physics and Development of His Results in This Field”, Proc. Steklov Inst. Math., 289 (2015), 134–151 (cited: 6) (cited: 1) (cited: 1) (cited: 2)
101.	A. K. Gushchin, “On the Dirichlet problem for an elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:1 (2015), 19–43
102.	A. K. Gushchin, “Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation”, Sb. Math., 206:10 (2015), 1410–1439 (cited: 14) (cited: 6)
103.	Yu. N. Drozhzhinov, B. I. Zavialov, “Comparison Tauberian theorems and hyperbolic operators with constant coefficients”, Ufa Math. Journal, 7:3 (2015), 47–53 (cited: 3) (cited: 3)
104.	I. V. Volovich, “Functional stochastic classical mechanics”, P-Adic Numbers Ultrametric Anal. Appl., 7:1 (2015), 56–70 (cited: 1) (cited: 4)
105.	I. Ya. Aref'eva, I. V. Volovich, S. V. Kozyrev, “Stochastic limit method and interference in quantum many-particle systems”, Theoret. and Math. Phys., 183:3 (2015), 782–799 (cited: 12) (cited: 1) (cited: 1) (cited: 9)
106.	L. Accardi, I. Ya. Aref'eva, I. V. Volovich, “Fermionic Meixner classes, Lie algebras and quadratic hamiltonians”, Indian J. Pure Appl. Math., 46:4 (2015), 517–538 , arXiv: 1411.4607 (cited: 1) (cited: 1)
107.	S. Iriyama, M. Ohya, I. V. Volovich, “On quantum algorithm for binary search and its computational complexity”, Open Syst. Inf. Dyn., 22:3 (2015), 1550019 , 9 pp. (cited: 5) (cited: 3)
108.	A. Khrennikov, S. Kozyrev, A. Månsson, “Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 18:2 (2015), 1550013 , 16 pp., arXiv: 1312.7528 (cited: 4) (cited: 1) (cited: 3)
109.	S. V. Kozyrev, “Ultrametricity in the theory of complex systems”, Theoret. and Math. Phys., 185:2 (2015), 1665–1677 (cited: 7) (cited: 5)
110.	M. O. Katanaev, “Rotational elastic waves in double wall tube”, Phys. Lett. A, 379:24–25 (2015), 1544–1548 , arXiv: 1503.01759 (cited: 1) (cited: 1)
111.	M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142 (cited: 12) (cited: 6)
112.	M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186 , 5 pp., arXiv: 1511.00991 (cited: 1) (cited: 5) (cited: 5)
113.	V. V. Zharinov, “Conservation laws, differential identities, and constraints of partial differential equations”, Theoret. and Math. Phys., 185:2 (2015), 1557–1581 (cited: 12) (cited: 7)
114.	N. G. Marchuk, “Demonstration Representation and Tensor Products of Clifford Algebras”, Proc. Steklov Inst. Math., 290 (2015), 143–154 (cited: 9) (cited: 4)
115.	N. G. Marchuk, “Yadernyi reaktor s zhidkometallicheskim teplonositelem dlya podvodnykh lodok”, O rabotakh G. I. Marchuka po raschetam yadernykh reaktorov, Nash Marchuk, Kniga “Nash Marchuk” - eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi., ISBN 978-5-7692-1444-8, eds. V.P.Ilin, A.K.Lavrova, A.G.Marchuk, N.A.Pritvits, Ya.I.Fet., Izd-vo SO RAN, Novosibirsk, 2015, 183-187 http://sibran.ru/catalog/FM/165098/
116.	N. G. Marchuk, “O moem ottse”, Nash Marchuk, Kniga “Nash Marchuk” – eto dan pamyati Guriyu Ivanovichu, iskrenne vyrazhennaya ego kollegami, uchenikami i blizkimi, ISBN 978-5-7692-1444-8, eds. V. P. Ilin, A. K. Lavrova, A. G. Marchuk, N. A. Pritvits, Ya. I. Fet, Izd-vo SO RAN, Novosibirsk, 2015, 176-182 , 428 pp. http://sibran.ru/catalog/FM/165098/
117.	A. Pechen, A. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323 (cited: 1) (cited: 13) (cited: 2) (cited: 15)

2014
118.	Yu. N. Drozhzhinov, B. I. Zavialov, “Asymptotically homogeneous solutions to differential equations with homogeneous polynomial symbols with respect to a multiplicative one-parameter group”, Proc. Steklov Inst. Math., 285 (2014), 99–119 (cited: 1)
119.	S. V. Kozyrev, I. V. Volovich, “Quinary lattice model of secondary structures of polymers”, Phys. A, 393 (2014), 86–95 , arXiv: 1206.4424 (cited: 1) (cited: 1)
120.	A. Khrennikov, B. Nilsson, S. Nordebo, I. Volovich, “Photon flux and distance from the source: consequences for quantum communication”, Found. Phys., 44:4 (2014), 389–405 , arXiv: 1309.5492 (cited: 3) (cited: 2) (cited: 4)
121.	Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K 90-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Tr. MIAN, 285, ed. I. V. Volovich, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2014 , 287 pp.
122.	I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80 (cited: 5) (cited: 2) (cited: 2) (cited: 5)
123.	I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Proc. Steklov Inst. Math., 285 (2014), 30–33
124.	I. V. Volovich, V. P. Radchenko (red.), Matematicheskaya fizika i ee prilozheniya, Chetvertaya mezhdunarodnaya konferentsiya «Matematicheskaya fizika i ee prilozheniya» (Samara, 25 avgusta – 01 sentyabrya 2014 g.), Samarskii gosudarstvennyi tekhnicheskii universitet, Samara, 2014 , 386 pp.
125.	S. V. Kozyrev, A. Yu. Khrennikov, V. M. Shelkovich, “$p$-adic wavelets and their applications”, Proc. Steklov Inst. Math., 285 (2014), 157–196 (cited: 5) (cited: 2) (cited: 2) (cited: 6)
126.	S. V. Kozyrev, “Cluster networks and Bruhat–Tits buildings”, Theoret. and Math. Phys., 180:2 (2014), 958–966 (cited: 2) (cited: 1) (cited: 1) (cited: 2)
127.	M. O. Katanaev, “Passing the Einstein–Rosen bridge”, Mod. Phys. Lett. A, 29:17 (2014), 1450090 , 7 pp., arXiv: 1310.7390
128.	V. V. Zharinov, “A model of relativistic dynamics”, Proc. Steklov Inst. Math., 285 (2014), 120–131
129.	V. V. Zharinov, “Algebraic aspects of gauge theories”, Theoret. and Math. Phys., 180:2 (2014), 942–957 (cited: 3) (cited: 2)
130.	N. Marchuk, “Nonlinear generalization of the Dirac equation”, Theoretical Physics and its Applications, Selected contributions at the 3rd International Conference on Theoretical Physics (Moscow, June 24–28, 2013), eds. T. F. Kamalov, MIPT, M., 2014, 180–182 , arXiv: 1307.6452
131.	N. G. Marchuk, “On a field equation generating a new class of particular solutions to the Yang–Mills equations”, Proc. Steklov Inst. Math., 285 (2014), 197–210 (cited: 5) (cited: 3)
132.	A. S. Trushechkin, “Microscopic solutions of kinetic equations and the irreversibility problem”, Proc. Steklov Inst. Math., 285 (2014), 251–274 (cited: 3) (cited: 1) (cited: 1) (cited: 2)
133.	A. S. Trushechkin, “Microscopic and soliton-like solutions of the Boltzmann–Enskog and generalized Enskog equations for elastic and inelastic hard spheres”, Kinetic and Related Models, 7:4 (2014), 755–778 , arXiv: 1307.4741 (cited: 2) (cited: 1)

2013
134.	A. K. Gushchin, “$L_p$-estimates for solutions of second-order elliptic equation Dirichlet problem”, Theoret. and Math. Phys., 174:2 (2013), 209–219 (cited: 11) (cited: 3) (cited: 3) (cited: 7)
135.	A. K. Guschin, “$L_p$-otsenki nekasatelnoi maksimalnoi funktsii dlya reshenii ellipticheskogo uravneniya vtorogo poryadka”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 53–69 (cited: 2)
136.	Yu. N. Drozhzhinov, B. I. Zavialov, “Generalized functions asymptotically homogeneous with respect to one–parametric group at origin”, Ufa Mathematical Journal, 5:1 (2013), 17–35
137.	Yu. N. Drozhzhinov and B. I. Zav'yalov, “Asymptotically homogeneous solutions of differential equations whose symbols are polynomials quasi-homogeneous with respect to one-parameter groups with generators containing a nilpotent component”, Dokl. Math., 88:2 (2013), 590–592
138.	V. P. Mikhailov, “On the existence of boundary values of solutions of elliptic equations”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 16–24
139.	V. S. Vladimirov, “Nonexistence of solutions of the $p$-adic strings”, Theoret. and Math. Phys., 174:2 (2013), 178–185 (cited: 1) (cited: 2)
140.	I. V. Volovich, V. A. Il'in, V. V. Kozlov, A. A. Logunov, G. I. Marchuk, V. A. Matveev, Yu. S. Osipov, B. E. Paton, V. A. Sadovnichii, “Vasilii Sergeevich Vladimirov (obituary)”, Russian Math. Surveys, 68:1 (2013), 175–182
141.	I. Ya. Aref'eva, I. V. Volovich, “Holographic thermalization”, Theoret. and Math. Phys., 174:2 (2013), 186–196 (cited: 7) (cited: 4) (cited: 4) (cited: 5)
142.	K. Mayuzumi, N. Watanabe, I. V. Volovich, “On construction of quantum logical gate based on ESR”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 297–304
143.	I. V. Volovich, V. P. Radchenko, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 10–14
144.	I. Ya. Aref'eva, E. V. Piskovskiy, I. V. Volovich, “Oscillations and rolling for Duffing's equation”, Quantum Bio-Informatics V, 5th International Conference of Quantum Bio-Informatics (QBIC) (March 07–14, 2011), QP-PQ: Quantum Probability and White Noise Analysis, 30, eds. L. Accardi, W. Freudenberg, M. Ohya, Tokyo Univ Sci., Quantum Bio Informat Ctr., Tokyo, Japan, 2013, 37–48
145.	A. Yu. Khrennikov, S. V. Kozyrev, K. Oleschko, A. G. Jaramillo, M. de Jesus Correa Lopez, “Application of p-adic analysis to time series”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16:4 (2013), 1350030 , 15 pp., arXiv: 1312.3878 (cited: 15) (cited: 10)
146.	M. O. Katanaev, “Point massive particle in general relativity”, Gen. Rel. Grav., 45:10 (2013), 1861–1875 , arXiv: 1207.3481 (cited: 7) (cited: 6) (cited: 7)
147.	V. V. Zharinov, “The formal de Rham complex”, Theoret. and Math. Phys., 174:2 (2013), 220–235 (cited: 6) (cited: 2) (cited: 2) (cited: 5)
148.	N. Marchuk, “Tensor products of Clifford algebras”, Dokl. Math., 87:2 (2013), 185–188
149.	A. S. Trushechkin, “On a rigorous definition of microscopic solutions of the Boltzmann–Enskog equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 270–278
150.	A. S. Trushechkin, “Functional mechanics and kinetic equations”, Quantum Bio-Informatics V (Tokyo University of Science, Japan, 5–12 March 2011), QP-PQ: Quantum Probability and White Noise analysis, 30, World Scientific, Singapore, 2013, 339–350 (cited: 2)

2012
151.	A. K. Gushchin, “The Dirichlet problem for a second-order elliptic equation with an $L_p$ boundary function”, Sb. Math., 203:1 (2012), 1–27 (cited: 16) (cited: 7) (cited: 7) (cited: 5)
152.	A. K. Gushchin, “Estimates of the nontangential maximal function for solutions of a second-order elliptic equation”, Dokl. Math., 86:2 (2012), 667–669 (cited: 4) (cited: 1) (cited: 1) (cited: 2)
153.	Yu. N. Drozhzhinov, B. I. Zavialov, “Distributions asymptotically homogeneous along the trajectories determined by one-parameter groups”, Izv. Math., 76:3 (2012), 466–516 (cited: 5)
154.	Yu. N. Drozhzhinov, B. I. Zavialov, “Homogeneous Generalized Functions with Respect to One-Parametric Group”, p-Adic Numbers, Ultrametric Analysis and Applications, 4:1 (2012), 64–75 (cited: 3)
155.	Yu. N. Drozhzhinov, “Obobschennye funktsii, asimptoticheski odnorodnye otnositelno odnoparametricheskoi gruppy”, Tretya mezhdunarodnaya nauchnaya konferentsiya «Matematicheskoe modelirovanie i differentsialnye uravneniya» (Brest, Belorussiya, 17–22 sentyabrya 2012 g.), BrGU, Brest, 2012, 87
156.	Yu. N. Drozhzhinov, B. I. Zavyalov, “O suschestvovanii asimptoticheski odnorodnykh reshenii differentsialnykh uravnenii”, Tretya mezhdunarodnaya konferentsiya «Matematicheskaya fizika i ee prilozheniya» (Rossiya, g. Samara, 27 avgusta – 1 sentyabrya 2012 g.), Samarskii gosudarstvennyi tekhnicheskii universitet, 2012, 121–122
157.	V. P. Mikhailov, “Existence of boundary values of solutions of elliptic equations in a strip”, Sb. Math., 203:1 (2012), 60–74 (cited: 1)
158.	V. S. Vladimirov, “Scale-invariant asymptotic (automodel) behavior in quantum field theory”, Theoret. and Math. Phys., 170:1 (2012), 97–99
159.	D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571
160.	I. V. Volovich, A. S. Trushechkin, “Asymptotic properties of quantum dynamics in bounded domains at various time scales”, Izv. Math., 76:1 (2012), 39–78 (cited: 2) (cited: 1)
161.	I. Ya. Aref'eva, I. V. Volovich, E. V. Piskovskiy, “Rolling in the Higgs model and elliptic functions”, Theoret. and Math. Phys., 172:1 (2012), 1001–1016 (cited: 6) (cited: 2) (cited: 2) (cited: 2)
162.	I. Ya. Aref'eva, I. V. Volovich, “Asymptotic expansion of solutions in a rolling problem”, Proc. Steklov Inst. Math., 277 (2012), 1–15 (cited: 1)
163.	I. V. Volovich, “In Memory of Vasilii S. Vladimorov”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(29) (2012), 8–16
164.	S. V. Kozyrev, I. V. Volovich, Quinary lattice model of secondary structures of proteins, 2012 , arXiv: 1206.4424
165.	A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Distance Dependence of Entangled Photons in Waveguides”, Foundations of Probability and Physics - 6, AIP Conf. Proc., 1424, American Institute of Physics, 2012, 262-269 (cited: 8) (cited: 8)
166.	A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Quantization of propagating modes in optical fibres”, Physica Scripta, 85:6 (2012), 065404 , 7 pp. (cited: 7) (cited: 7)
167.	S. Albeverio, S. V. Kozyrev, “Clustering by hypergraphs and dimensionality of cluster systems”, p-Adic Numbers, Ultrametric Analysis and Applications, 4:3 (2012), 167–178 , arXiv: 1204.5952 (cited: 3)
168.	S. Albeverio, S. V. Kozyrev, Lattice model of protein conformations, 2012 , arXiv: 1207.7317
169.	S. V. Kozyrev, Classification by ensembles of neural networks, 2012 , arXiv: 1202.4170
170.	M. O. Katanaev, I. G. Mannanov, “Wedge dislocations, three-dimensional gravity, and the Riemann–Hilbert problem”, Phys. Part. Nucl., 43 (2012), 639–643
171.	M. O. Katanaev, I. G. Mannanov, “Wedge dislocations and three-dimensional gravity”, p-Adic Numb. Ultramet. Anal. Appl., 4:1 (2012), 5–19
172.	V. V. Zharinov, “Cohomologies of spaces of Schwartz test functions”, Theoret. and Math. Phys., 170:3 (2012), 263–273 (cited: 2) (cited: 2) (cited: 2) (cited: 2)
173.	V. V. Zharinov, “Cohomologies of spaces of Schwartz distributions”, Theoret. and Math. Phys., 172:1 (2012), 879–884 (cited: 1) (cited: 1) (cited: 1) (cited: 1)
174.	N. Marchuk, Field theory equations, Amazon, CreateSpace, 2012 , 290 pp.
175.	N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.
176.	N. Marchuk, “Generalized exterior algebras”, Ukr. J. Phys., 57:4 (2012), 422–425 , arXiv: 1103.5313
177.	A. S. Trushechkin, “Derivation of the particle dynamics from kinetic equations”, p-Adic Numbers, Ultrametic Analysis and Applications, 4:2 (2012), 130–142 , arXiv: 1201.3607 (cited: 2)

2011
178.	A. K. Gushchin, “The estimates of the solution of the Dirichlet problem with boundary function from $L_p$ for a second-order elliptic equation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 53–67
179.	A. K. Gushchin, “Solvability of the Dirichlet problem for a second-order elliptic equation with a boundary function from $L_p$”, Dokl. Math., 83:2 (2011), 219–221 (cited: 6) (cited: 1) (cited: 1) (cited: 3)
180.	Yu. N. Drozhzhinov, B. I. Zav'yalov, “Generalized functions asymptotically homogeneous along the unstable degenerated node”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 68–82
181.	V. S. Vladimirov, “Solutions of $p$-adic string equations”, Theoret. and Math. Phys., 167:2 (2011), 539–546 (cited: 7) (cited: 2) (cited: 2) (cited: 5)
182.	V. S. Vladimirov, “Mathematical questions for theory of nonlinear pseudodifferential equations with $p$-adic string”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 34–41
183.	I. Ya. Aref'eva, I. V. Volovich, “On nonlocal cosmological equations on half-line”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 16–27
184.	I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 5–8
185.	I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(23) (2011), 131–134
186.	I. V. Volovich, “Randomness in classical mechanics and quantum mechanics”, Found. Phys., 41:3 (2011), 516–528 (cited: 14) (cited: 13) (cited: 12)
187.	S. V. Kozyrev, I. V. Volovich, “The Arrhenius formula in kinetic theory and Witten's spectral asymptotics”, J. Phys. A, 44:21 (2011), 215202 , 10 pp. (cited: 2) (cited: 4)
188.	M. Ohya, I. Volovich, Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems, Theoret. Math. Phys., Springer, Dordrecht, 2011 , xx+759 pp. (cited: 16)
189.	“I.Ya. Aref`eva, I.V. Volovich”, “Cosmological daemon”, JHEP, 2011:8 (2011), 102 , 32 pp., arXiv: 1103.0273 (cited: 21) (cited: 18)
190.	I. Ya. Aref'eva, I. V. Volovich, Superluminal dark neutrinos, 2011 , arXiv: 1110.0456
191.	I. V. Volovich, Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities, 2011 , 5 pp., arXiv: 1106.1892
192.	E. V. Piskovskiy, I. V. Volovich, “On the correspondence between newtonian and functional mechanics”, Quantum bio-informatics IV: From quantum information to bio-informatics, QP-PQ Quantum Probability and White Noise Analysis, 28, eds. L. Accardi; W. Freudenberg; M. Ohya, 2011, 363–372 (cited: 7)
193.	A. Yu. Khrennikov, S. V. Kozyrev, “$p$-Adic integral operators in wavelet bases”, Dokl. Math., 83:2 (2011), 209–212 (cited: 7) (cited: 3) (cited: 3) (cited: 4)
194.	S. V. Kozyrev, A. Yu. Khrennikov, “Multidimensional $p$-adic metric and genetic code”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 113–117
195.	A. Yu. Khrennikov, S. V. Kozyrev, “Genetic code and deformation of the 2-dimensional 2-adic metric”, P-Adic Numbers Ultrametric Anal. Appl., 3:2 (2011), 165–168
196.	A. Yu. Khrennikov, S. V. Kozyrev, “Replica procedure for probabilistic algorithms as a model of gene duplication”, Dokl. Math., 84:2 (2011), 726–729 , arXiv: 1105.2893 (cited: 1) (cited: 1) (cited: 1) (cited: 3)
197.	M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 99–107
198.	M. O. Katanaev, “Adiabatic theorem for finite dimensional quantum mechanical systems”, Russian Phys. J., 2011, no. 3, 342–353 , arXiv: 0909.0370 (cited: 1) (cited: 3) (cited: 3) (cited: 2)
199.	M. O. Katanaev, “On geometric interpretation of the Aharonov–Bohm effect”, Russian Phys. J., 54:5 (2011), 507–514 (cited: 2) (cited: 1) (cited: 1) (cited: 2)

2012
200.	M. O. Katanaev, “On geometric interpretation of the Berry phase”, Russian Phys. J., 54:10 (2012), 1082–1092 , arXiv: 1212.1782 (cited: 2) (cited: 1) (cited: 1) (cited: 2)

2011
201.	V. V. Zharinov, “Symmetries and conservation laws of difference equations”, Theoret. and Math. Phys., 168:2 (2011), 1019–1034
202.	N. G. Marchuk, “Dirac–Yang–Mills model equations with a spinor gauge symmetry”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 118–123
203.	N. Marchuk, “Parametrisations of elements of spinor and orthogonal groups using exterior exponents”, Adv. Appl. Clifford Algebr., 21:3 (2011), 583–590 , arXiv: 0912.5349 (cited: 1) (cited: 1)
204.	N. G. Marchuk, “Exterior polymetric algebras”, Dokl. Math., 83:3 (2011), 400–403
205.	N. G. Marchuk, “Field theory equations with spinor gauge symmetry”, Dokl. Math., 83:2 (2011), 155–157
206.	N. Marchuk, “Representations of spinor groups using Grassmann exterior algebra”, From Past to Future: Graßmann's Work in Context, Graßmann Bicentennial Conference (Univ. Potsdam, Potsdam, Germany, September 16–19, 2009), eds. H. J. Petsche, A. C. Lewis, J. Liesen, S. Russ, Birkhäuser, Basel, 2011, 303–309
207.	N .G. Marchuk, Modelnye uravneniya teorii polya s unitarnoi i psevdounitarnoi kalibrovochnoi simmetriei, Diss. doktora fiz.-mat. nauk, Matematicheskii Institut im. V. A. Steklova RAN, Moskva, 2011 (Published online) , 252 pp.
208.	A. S. Trushechkin, “Boltzmann equation and $H$-theorem in the functional formulation of classical mechanics”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 158–164
209.	A. S. Trushechkin, “Derivation of the Boltzmann equation and entropy production in functional mechanics”, p-Adic Numbers, Ultrametric Analysis, and Applications, 3:3 (2011), 225–235 , arXiv: 1108.3847