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Department of Mathematical Physics
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History of the Department |
Research Directions |
Main Results |
Books written by the Department's members |
Publications |
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Staff
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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.
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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
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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.
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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.
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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.
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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.
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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.
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Sakbaev Vsevolod Zhanovich Doctor Phys.-Math. Sci., Leading Scientific Researcher
e-mail: fumi2003@mail.ru Personal page: http://mipt.ru/persons/profs/sakbaev-vsevolod-zhanovich
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Trushechkin Anton Sergeevich  Doctor Phys.-Math. Sci., Leading 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.
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Inozemtsev Oleg Valerievich Junior Researcher
e-mail: inozemcev@mi-ras.ru
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Dezin Aleksei Alekseevich (23.04.1923 – 4.03.2008) Doctor Phys.-Math. Sci.
Principal fields of research:
Partial differential equations. Functional analysis. Discrete models.
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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.
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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.
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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.
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Seminars
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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).
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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).
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Moscow, Nauka, 1964, 411 pp.
- V. S. Vladimirov
- Equations of Mathematical Physics (in Russian).
- Moscow, Nauka, 1967, 436 pp.
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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).
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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).
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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).
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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).
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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).
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Moscow, Nauka, 1986, 304 pp.
- V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zav'yalov
- Tauberian Theorems for Generalized Functions (in English).
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Springer, 1988, 308 pp. ISBN 9027723834.
- V. S. Vladimirov and V. V. Zharinov
- Equations of Mathematical Physics. Textbook (in Russian).
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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).
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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).
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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.
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- 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).
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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).
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Moscow, Nauka, 1980, 207 pp.
- A. A. Dezin
- Multidimensional analysis and discrete models (in Russian).
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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).
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Moscow, Nauka, 2000, 175 pp.
(Trudy Mat. Inst. Steklov., Vol. 229).
- V. V. Zharinov
- Distributive Lattices and their Applications in Complex Analysis (in Russian).
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Moscow, Nauka, 1983, 80 pp. (Trudy Mat. Inst. Steklov., 162)
- V. V. Zharinov
- Lecture Notes on Geometrical Aspects of Partial Differential Equations (in English).
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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).
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Moscow, Nauka, 1976, 391 pp.
- Ibid., 2nd ed., Recasted and revised, Moscow, Nauka, 1983, 424 pp.
- A. G. Sergeev
- Kahler Geometry of Loop Spaces.
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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 Seiberg–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.
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Moscow, Nauka, 1986, 304 pp.
- S. V. Kozyrev
- Methods and applications of ultrametric and p-adic analysis: from wavelet theory to biophysics.
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Modern Problems of Mathematics, 12, Steklov Math. Inst., Russian Academy of Sciences, Moscow, 2008, 170 pp.
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Recent publications
Steklov Mathematical Institute staff
Steklov Mathematical Institute staff and out-of-staff employees
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2021 |
1. |
Matematika kvantovykh tekhnologii, Sbornik statei, Trudy MIAN, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, MIAN, M., 2021 |
2. |
I. V. Volovich, O. V. Inozemcev, “On the Thermalization Hypothesis of Quantum States”, Mathematics of quantum technologies, Collected papers, Tr. Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021 (to appear) |
3. |
Branko Dragovich, Andrei Yu. Khrennikov, Sergei V. Kozyrev, Nataša. Ž. Mišić, “$p$-Adic Mathematics and Theoretical Biology”, Biosystems, 199 (2021), 104288 , 10 pp. ; |
4. |
M. O. Katanaev, Mathematics of quantum technologies, Collected papers, Tr. Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021 (to appear) |
5. |
M. O. Katanaev, “Gravity with dynamical torsion”, Class. Quantum Grav., 38:1 (2021), 015014 , 10 pp. ; |
6. |
N. G. Marchuk, D. S. Shirokov, Teoriya algebr Klifforda i spinorov, Krasand (URSS), Moskva, 2021 , 560 pp. http://urss.ru/cgi-bin/db.pl?lang=Ru&blang=ru&page=Book&id=263794 |
7. |
A. S. Trushechkin, E. O. Kiktenko, D. A. Kronberg, A. K. Fedorov, “Security of the decoy state method for quantum key distribution”, Phys. Usp., 64:1 (2021), 88–102 |
8. |
A. S. Trushechkin, Mathematics of quantum technologies, Collected papers, Tr. Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021 (to appear) |
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2020 |
9. |
A. K. Gushchin, “Extensions of the space of continuous functions and embedding theorems”, Sb. Math., 211:11 (2020), 1551–1567 |
10. |
Yu. N. Drozhzhinov, “On a Problem of Multidimensional Tauberian Theory”, Proc. Steklov Inst. Math., 309 (2020), 97–106 |
11. |
I. V. Volovich, “Ob integriruemosti dinamicheskikh sistem”, Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Tr. MIAN, 310, MIAN, M., 2020, 78–85 |
12. |
Irina Aref'eva, Igor Volovich, “Gas of baby universes in JT gravity and matrix models”, Symmetry, 12:6 (2020), 975 , 17 pp., arXiv: 1905.08207 (cited: 1) (cited: 1); |
13. |
Sergei V. Kozyrev, “Learning problem for functional programming and model of biological evolution”, P-Adic Numbers Ultrametric Anal. Appl., 12:2 (2020), 112–122 (cited: 1) (cited: 1); |
14. |
S. V. Kozyrev, “$q$-Deformation and Free Statistics for Interaction of a Field and a Particle”, Phys. Part. Nucl., 51:4 (2020), 452–457 |
15. |
S. V. Kozyrev, “Genome as a functional program”, Lobachevskii J. Math., 41:12 (2020), 2326–2331 , arXiv: 2006.09980 ; |
16. |
A. N. Nekrasov, Y. P. Kozmin, S. V. Kozyrev, N. G. Esipova, R. H. Ziganshin, A. A. Anashkina, “Levels of hierarchical organization of protein sequences. Entropy Characteristics Analysis”, Biophysics, 65:6 (2020), 1965–1071 |
17. |
M. O. Katanaev, “Nonrelativistic Limit of the Bosonic String”, Proc. Steklov Inst. Math., 309 (2020), 183–193 |
18. |
M. O. Katanaev, “The `t Hooft–Polyakov monopole in the geometric theory of defects”, Mod. Phys. Lett. B, 34:12 (2020), 2050126 (cited: 1) (cited: 1); |
19. |
D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant. II”, Phys. Rev. D, 101:12 (2020), 124025 , 20 pp., arXiv: 2006.09209 ; |
20. |
D. E. Afanasev, M. O. Katanaev, “On global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant”, Proc. of Sci., 376 (2020), 1–14 ; |
21. |
M. O. Katanaev, B. O. Volkov, “Point disclinations in the Chern–Simons geometric theory of defects”, Mod. Phys. Lett. B, 34:1 (2020), 2150012 , 14 pp. ; |
22. |
V. V. Zharinov, “Algebra of gauge theories”, Theoret. and Math. Phys., 203:2 (2020), 584–595 |
23. |
V. V. Zharinov, “Binary relations, Bäcklund transformations, and wave packet propagation”, Theoret. and Math. Phys., 205:1 (2020), 1245–1264 |
24. |
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 |
25. |
Nikolay G. Marchuk, Dmitry S. Shirokov, “Local Generalization of Paulis Theorem”, Azerb. J. Math., 10:1 (2020), 38–56 , arXiv: 1201.4985 ; |
26. |
N. G. Marchuk, D. S. Shirokov, “On some equations modeling the Yang-Mills equations”, Phys. Part. Nucl., 51:4 (2020), 589–594 (cited: 1) (cited: 1) |
27. |
N. G. Marchuk, “One Class of Relativistically Invariant First-Order Equations”, Differ. Equ., 56:12 (2020), 1575–1586 |
28. |
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 (cited: 1) (cited: 1) |
29. |
A. S. Trushechkin, “On the proof of existence of microscopic solutions to the Boltzmann–Enskog kinetic equation”, Phys. Part. Nucl., 51:4 (2020), 791–796 |
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2019 |
30. |
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 |
31. |
A. K. Gushchin, “The boundary values of solutions of an elliptic equation”, Sb. Math., 210:12 (2019), 1724–1752 |
32. |
Yu. N. Drozhzhinov, “Multidimensional Tauberian theorem for holomorphic functions of bounded argument”, Dokl. Math., 100:1 (2019), 389–391 |
33. |
Matematicheskaya fizika i prilozheniya, Sbornik statei. K 95-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Trudy MIAN, 306, ed. I. V. Volovich, M. O. Katanaev, MIAN, M., 2019 , 352 pp. |
34. |
I. V. Volovich, V. V. Kozlov, “On Maxwell's Equations with a Magnetic Monopole on Manifolds”, Proc. Steklov Inst. Math., 306 (2019), 43–46 |
35. |
I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Proc. Steklov Inst. Math., 306 (2019), 1–8 (cited: 1) (cited: 1) |
36. |
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: 10) (cited: 14) |
37. |
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 (cited: 2) (cited: 3) |
38. |
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 |
39. |
Igor V. Volovich, Remarks on the complete integrability of quantum and classical dynamical systems, 2019 , 15 pp., arXiv: 1911.01335 |
40. |
Irina Aref'eva, Igor Volovich, “Spontaneous symmetry breaking in fermionic random matrix model”, JHEP, 2019 (2019), 114 , 12 pp., arXiv: 1902.09970 (cited: 3) (cited: 4) |
41. |
Igor V. Volovich, “Complete integrability of quantum and classical dynamical systems”, P-Adic Numbers Ultrametric Anal. Appl., 11:4 (2019), 328–334 (cited: 1) (cited: 2) (cited: 2); |
42. |
Irina Ya. Aref'eva and Igor V. Volovich, “Holographic photosynthesis and entanglement entropy”, Proceedings of QP38 (Japan, October, 2017), 2019 (to appear) |
43. |
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 |
44. |
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 ; |
45. |
M. O. Katanaev, “Gauge Parameterization of the $n$-Field”, Proc. Steklov Inst. Math., 306 (2019), 127–134 , arXiv: physics/2001.08110 |
46. |
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), 024052 , 16 pp., arXiv: 1904.04648 (cited: 1) |
47. |
V. V. Zharinov, “Hamiltonian operators with zero-divergence constraints”, Theoret. and Math. Phys., 200:1 (2019), 923–937 |
48. |
V. V. Zharinov, “Analysis in Noncommutative Algebras and Modules”, Proc. Steklov Inst. Math., 306 (2019), 90–101 (cited: 1) |
49. |
N. G. Marchuk, “A Generalization of the Yang–Mills Equations”, Proc. Steklov Inst. Math., 306 (2019), 157–177 (cited: 1) |
50. |
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: 4) (cited: 3) |
51. |
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 (cited: 1) |
52. |
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 (cited: 1) (cited: 3) |
53. |
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: 5) (cited: 6) |
54. |
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 (cited: 1) (cited: 2) (cited: 2) |
55. |
Math. Notes, 106:6 (2019), 986–993 (cited: 1) |
|
2018 |
56. |
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: 4) (cited: 2) |
57. |
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: 2) |
58. |
Yu. N. Drozhzhinov, “Asymptotically Homogeneous Generalized Functions and Some of Their Applications”, Proc. Steklov Inst. Math., 301 (2018), 65–81 |
59. |
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: 10) (cited: 8) |
60. |
Irina Aref'eva, Igor Volovich, Notes on the SYK model in real time, 2018 , 18 pp., arXiv: 1801.08118 |
61. |
I. V. Volovich, V. Zh. Sakbaev, “On Quantum Dynamics on $C^*$-Algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38 (cited: 6) (cited: 7) |
62. |
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 |
63. |
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 |
64. |
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: 4) |
65. |
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 |
66. |
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 |
67. |
S. V. Kozyrev, “Quantum Transport in Degenerate Systems”, Proc. Steklov Inst. Math., 301 (2018), 134–143 (cited: 3) (cited: 3) |
68. |
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. |
69. |
S. V. Kozyrev, “Biology as a constructive physics”, P-Adic Numbers Ultrametric Anal. Appl., 10:4 (2018), 305–311 , arXiv: 1804.10518 (cited: 3) (cited: 3) |
70. |
M. O. Katanaev, “Chern–Simons Action and Disclinations”, Proc. Steklov Inst. Math., 301 (2018), 114–133 (cited: 3) (cited: 3) |
71. |
Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Trudy MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK «Nauka/Interperiodika», M., 2018 , 335 pp. |
72. |
M. O. Katanaev, Lekts. Kursy NOC, 29, 2018, 3–364 |
73. |
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 (cited: 1) (cited: 1) |
74. |
V. V. Zharinov, “Analysis in Algebras and Modules”, Proc. Steklov Inst. Math., 301 (2018), 98–108 (cited: 4) (cited: 2) |
75. |
V. V. Zharinov, “Analysis in differential algebras and modules”, Theoret. and Math. Phys., 196:1 (2018), 939–956 (cited: 2) |
76. |
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 |
77. |
N. G. Marchuk, “Classification of extended Clifford algebras”, Russian Math. (Iz. VUZ), 62:11 (2018), 23–27 , arXiv: 1611.07684 (cited: 2) (cited: 2) |
78. |
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: 7) (cited: 7) |
79. |
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: 5) (cited: 5) |
80. |
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 (cited: 1) (cited: 1) |
81. |
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: 52) (cited: 54) |
82. |
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 |
83. |
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: 1) (cited: 5) (cited: 3) |
|
2017 |
84. |
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: 11) (cited: 12) |
85. |
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) |
86. |
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) |
87. |
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: 33) (cited: 36) |
88. |
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: 4) (cited: 5) |
89. |
M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668 (cited: 8) (cited: 5) |
90. |
M. O. Katanaev, “Chern–Simons term in the geometric theory of defects”, Phys. Rev. D, 96 (2017), 84054 , 8 pp., arXiv: math-ph/1705.07888 (cited: 5) (cited: 5) |
91. |
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 |
92. |
M. O. Katanaev, “Normal coordinates in affine geometry”, Lobachevskii Journal of Mathematics, 39:3 (2018), 464–476 (cited: 1) |
|
2017 |
93. |
V. V. Zharinov, “Lie–Poisson structures over differential algebras”, Theoret. and Math. Phys., 192:3 (2017), 1337–1349 (cited: 5) (cited: 5) |
94. |
V. V. Zharinov, “Hamiltonian operators in differential algebras”, Theoret. and Math. Phys., 193:3 (2017), 1725–1736 (cited: 2) (cited: 2) |
|
2019 |
95. |
A. S. Trushechkin, “On general production of entropy in open Markov quantum systems”, Journal of Mathematical Sciences, 241:2 (2019), 191–209 (cited: 1) |
96. |
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 |
97. |
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: 9) (cited: 9) |
98. |
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: 12) (cited: 12) |
99. |
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: 23) (cited: 22) |
100. |
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: 7) (cited: 7) |
|
2016 |
101. |
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: 7) |
102. |
Yu. N. Drozhzhinov, “Multidimensional Tauberian theorems for generalized functions”, Russian Math. Surveys, 71:6 (2016), 1081–1134 (cited: 10) (cited: 11) |
103. |
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) |
104. |
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: 60) (cited: 63) |
105. |
Irina Aref'eva, Igor Volovich, Holographic photosynthesis, 2016 , 36 pp., arXiv: 1603.09107 |
106. |
I. V. Volovich, “Group theory, probability, the structure of spacetime and V. S. Varadarajan”, P-Adic Numbers Ultrametric Anal. Appl., 8:1 (2016), 1 |
107. |
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: 15) |
108. |
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: 2) (cited: 2) (cited: 2) |
109. |
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 |
110. |
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 |
111. |
M. O. Katanaev, “Rotational elastic waves in a cylindrical waveguide with wedge dislocation”, J. Phys. A, 49:8 (2016), 85202 , 8 pp., arXiv: cond-mat/1502.07935 (cited: 2) (cited: 1) |
112. |
M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700 , arXiv: gr-qc/1610.05628 (cited: 20) (cited: 11) |
113. |
V. V. Zharinov, “Bäcklund transformations”, Theoret. and Math. Phys., 189:3 (2016), 1681–1692 (cited: 19) (cited: 12) |
114. |
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: 13) |
115. |
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: 6) (cited: 6) |
116. |
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: 17) (cited: 16) |
|
2015 |
117. |
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. |
118. |
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. |
119. |
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) |
120. |
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 |
121. |
A. K. Gushchin, “Solvability of the Dirichlet problem for an inhomogeneous second-order elliptic equation”, Sb. Math., 206:10 (2015), 1410–1439 (cited: 15) (cited: 9) |
122. |
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) |
123. |
I. V. Volovich, “Functional stochastic classical mechanics”, P-Adic Numbers Ultrametric Anal. Appl., 7:1 (2015), 56–70 (cited: 2) (cited: 5) |
124. |
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: 13) (cited: 1) (cited: 1) (cited: 11) |
125. |
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) |
126. |
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) |
127. |
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: 5) (cited: 1) (cited: 4) |
128. |
S. V. Kozyrev, “Ultrametricity in the theory of complex systems”, Theoret. and Math. Phys., 185:2 (2015), 1665–1677 (cited: 8) (cited: 6) |
129. |
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) |
130. |
M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142 , arXiv: physics/1602.06331 (cited: 12) (cited: 7) |
131. |
M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186 , 5 pp., arXiv: gr-qc/1511.00991 (cited: 1) (cited: 5) (cited: 5) |
132. |
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: 8) |
133. |
N. G. Marchuk, “Demonstration Representation and Tensor Products of Clifford Algebras”, Proc. Steklov Inst. Math., 290 (2015), 143–154 (cited: 9) (cited: 4) |
134. |
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/ |
135. |
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/ |
136. |
A. Pechen, A. Trushechkin, “Measurement-assisted Landau-Zener transitions”, Phys. Rev. A, 91:5 (2015), 052316 , 15 pp., arXiv: 1506.08323 (cited: 1) (cited: 15) (cited: 2) (cited: 17) |
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