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Volovich Igor Vasil'evich
(recent publications)

by years

scientific publications

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2026
1.	I. Ya. Aref'eva, I. V. Volovich, “On the properties of real quantum mechanics in Kähler space”, Theoret. and Math. Phys., 228:1 (2026), 1251–1260

2025
2.	I. Ya. Aref'eva, I. V. Volovich, D. O. Stepanenko, “Black brane/Bose gas duality and the third law of thermodynamics”, Theoret. and Math. Phys., 222:2 (2025), 276–284
3.	Igor V. Volovich, “On the equivalence between the Schrödinger equation in quantum mechanics and the Euler–Bernoulli equation in elasticity theory”, P-Adic Numbers Ultrametric Anal. Appl., 17:1 (2025), 78–84, arXiv: 2411.03261	3 ^[x]
4.	Igor Volovich, Real Quantum Mechanics in a Kahler Space, 2025, 23 pp., arXiv: 2504.16838
5.	Vsevolod Sakbaev, Igor Volovich, “Measures and trajectory properties in oscillator systems”, Ann. Funct. Anal., 17:1 (2025), 10, 29 pp., arXiv: 2506.18093

2024
6.	I. Ya. Aref'eva, I. V. Volovich, “Bose gas modeling of the Schwarzschild black hole thermodynamics”, Theoret. and Math. Phys., 218:2 (2024), 192–204
7.	I. Volovich, Information Problem in Black Holes and Cosmology and Ghosts in Quadratic Gravity, 2024, 10 pp., arXiv: 2401.12191
8.	Irina Aref'eva, Igor Volovich, “Violation of the third law of thermodynamics by black holes, Riemann zeta function and Bose gas in negative dimensions”, Eur. Phys. J. Plus, 139 (2024), 300, 8 pp., arXiv: 2304.04695	3 ^[x]
9.	E. A. Kurianovich, A. I. Mikhailov, I. V. Volovich, “On the theory of relativistic Brownian motion”, P-Adic Numbers Ultrametric Anal. Appl., 16:2 (2024), 113–127	1 ^[x]
10.	T. Rusalev, D. Stepanenko, I. Voloivich, “No violation of Bell-CHSH inequalities at large distances”, Lobachevskii J. Math., 45:6 (2024), 2577–2584, arXiv: 2312.07499
11.	I. Volovich, Quantum vs. Symplectic Computers, 2024, 10 pp., arXiv: 2407.12755
12.	Vsevolod Sakbaev, Igor Volovich, “Analogues of Jacobi and Weyl theorems for infinite-dimensional tori”, J. Stoch. Anal., 5:1 (2024), 4, 16 pp., arXiv: 2305.05929

2023
13.	I. Ya. Aref'eva, I. V. Volovich, “A note on islands in Schwarzschild black holes”, Theoret. and Math. Phys., 214:3 (2023), 432–445
14.	Irina Aref'eva, Igor Volovich, “Complete evaporation of black holes and Page curves”, Symmetry, 15:1 (2023), 170, 22 pp., arXiv: 2202.00548	6 ^[x]
15.	I. Ya. Aref'eva, I. V. Volovich, “Quantum explosions of black holes”, Phys. Part. Nucl. Lett., 20:3 (2023), 416–420
16.	Daniil Stepanenko, Igor Volovich, “Schwarzschild black holes, Islands and Virasoro algebra”, Eur. Phys. J. Plus, 138 (2023), 688, 7 pp., arXiv: 2211.03153	4 ^[x]
17.	Igor Volovich, Cosmological Constant and Maximum of Entropy for de Sitter Space, 2023, 9 pages pp., arXiv: 2308.11377
18.	Irina Aref'eva, Igor Volovich, “Holographic photosynthesis and entanglement entropy”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, QP–PQ: Quantum Probab. White Noise Anal., 23, 2023, 231–250
19.	Luigi Accardi, Irina Ya. Aref'eva, Yungang Lu, Igor' Vasil'evich Volovich, “Two Non--Isomorphic -Lie Algebra Structures on $sl(2,R)$ and Their Physical Origins”, J. Stoch. Anal., 4:4 (2023), 3, 13 pp.

2022
20.	I. Arefeva and I. Volovich, Complete evaporation of black holes and Page curves, 2022, arXiv: 2202.00548
21.	B. Dragovich, A. Yu. Khrennikov, S. V. Kozyrev, I. V. Volovich, “Giorgio Parisi: The Nobel Prize in Physics 2021”, P-Adic Numbers Ultrametric Anal. Appl., 14:1 (2022), 81–83	3 ^[x]
22.	I. Ya. Aref'eva, I. V. Volovich, T. A. Rusalev, “Entanglement entropy of a near-extremal black hole”, Theoret. and Math. Phys., 212:3 (2022), 1284–1302
23.	I. Ya. Aref'eva, V. V. Belokurov, E. E. Boos, D. V. Bykov, I. V. Volovich, D. I. Kazakov, V. V. Kozlov, M. V. Libanov, V. A. Matveev, V. A. Rubakov, D. V. Treshchev, G. V. Trubnikov, “In memory of Andrei Alekseevich Slavnov”, Phys. Usp., 65:11 (2022), 1204–1205
24.	Irina Aref'eva, Igor Volovich, “Quantum Explosions of Black Holes and Thermal Coordinates”, Symmetry, 14:11 (2022), 2298, 30 pp., arXiv: 2104.12724	3 ^[x]

2021
25.	Matematika kvantovykh tekhnologii, Sbornik statei, Trudy MIAN, 313, ed. A. N. Pechen, I. V. Volovich, G. G. Amosov, A. E. Teretenkov, MIAN, M., 2021, 296 pp.
26.	I. V. Volovich, O. V. Inozemcev, “On the Thermalization Hypothesis of Quantum States”, Proc. Steklov Inst. Math., 313 (2021), 268–278
27.	I. Arefeva and I. Volovich, A Note on Islands in Schwarzschild Black Holes, 2021, 19 pp., arXiv: 2110.04233

2020
28.	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	2 ^[x]
29.	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	8 ^[x]

2019
30.	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.
31.	I. V. Volovich, V. V. Kozlov, “On Maxwell's Equations with a Magnetic Monopole on Manifolds”, Proc. Steklov Inst. Math., 306 (2019), 43–46
32.	I. Ya. Aref'eva, I. V. Volovich, “Quasi-averages in Random Matrix Models”, Proc. Steklov Inst. Math., 306 (2019), 1–8
33.	Irina Arefeva, Mikhail Khramtsov, Maria Tikhanovskaya, Igor Volovich, “Replica-nondiagonal solutions in the SYK model”, JHEP, 2019 (2019), 113, 59 pp., arXiv: 1811.04831	27 ^[x]
34.	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
35.	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
36.	Igor V. Volovich, Remarks on the complete integrability of quantum and classical dynamical systems, 2019, 15 pp., arXiv: 1911.01335
37.	Irina Aref'eva, Igor Volovich, “Spontaneous symmetry breaking in fermionic random matrix model”, JHEP, 2019 (2019), 114, 12 pp., arXiv: 1902.09970	6 ^[x]
38.	Igor V. Volovich, “Complete integrability of quantum and classical dynamical systems”, P-Adic Numbers Ultrametric Anal. Appl., 11:4 (2019), 328–334	6 ^[x]

2018
39.	I. Ya. Aref'eva, I. V. Volovich, “Notes on the SYK model in real time”, Theoret. and Math. Phys., 197:2 (2018), 1650–1662
40.	Irina Aref'eva, Igor Volovich, Notes on the SYK model in real time, 2018, 18 pp., arXiv: 1801.08118
41.	I. V. Volovich, V. Zh. Sakbaev, “On Quantum Dynamics on $C^*$-Algebras”, Proc. Steklov Inst. Math., 301 (2018), 25–38
42.	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	7 ^[x]
43.	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
44.	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.	8 ^[x]
45.	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
46.	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

2017
47.	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.	11 ^[x]
48.	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
49.	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	1 ^[x]
50.	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	120 ^[x]
51.	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	5 ^[x]

2016
52.	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	15 ^[x]
53.	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	125 ^[x]
54.	Irina Aref'eva, Igor Volovich, Holographic photosynthesis, 2016, 36 pp., arXiv: 1603.09107
55.	I. V. Volovich, “Group theory, probability, the structure of spacetime and V. S. Varadarajan”, P-Adic Numbers Ultrametric Anal. Appl., 8:1 (2016), 1
56.	I. V. Volovich, S. V. Kozyrev, “Manipulation of states of a degenerate quantum system”, Proc. Steklov Inst. Math., 294 (2016), 241–251

2015
57.	I. V. Volovich, “Functional stochastic classical mechanics”, P-Adic Numbers Ultrametric Anal. Appl., 7:1 (2015), 56–70	8 ^[x]
58.	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
59.	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	1 ^[x]
60.	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.	2 ^[x]

2014
61.	S. V. Kozyrev, I. V. Volovich, “Quinary lattice model of secondary structures of polymers”, Phys. A, 393 (2014), 86–95, arXiv: 1206.4424	2 ^[x]
62.	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	6 ^[x]
63.	Izbrannye voprosy matematicheskoi fiziki i analiza, Sbornik statei. K 90-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Trudy MIAN, 285, ed. I. V. Volovich, A. G. Sergeev, MAIK «Nauka/Interperiodika», M., 2014, 287 pp.
64.	I. V. Volovich, V. Zh. Sakbaev, “Universal boundary value problem for equations of mathematical physics”, Proc. Steklov Inst. Math., 285 (2014), 56–80
65.	I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Proc. Steklov Inst. Math., 285 (2014), 30–33
66.	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.

2013
67.	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
68.	I. Ya. Aref'eva, I. V. Volovich, “Holographic thermalization”, Theoret. and Math. Phys., 174:2 (2013), 186–196
69.	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	1 ^[x]
70.	I. V. Volovich, V. P. Radchenko, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 10–14
71.	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

2012
72.	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
73.	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
74.	I. Ya. Aref'eva, I. V. Volovich, “Asymptotic expansion of solutions in a rolling problem”, Proc. Steklov Inst. Math., 277 (2012), 1–15
75.	I. V. Volovich, “In Memory of Vasilii S. Vladimorov”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 4(29) (2012), 8–16
76.	S. V. Kozyrev, I. V. Volovich, Quinary lattice model of secondary structures of proteins, 2012, arXiv: 1206.4424
77.	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	6 ^[x]
78.	A. Khrennikov, B. Nilsson, S. Nordebo, I. V. Volovich, “Quantization of propagating modes in optical fibres”, Physica Scripta, 85:6 (2012), 065404, 7 pp.	9 ^[x]

2011
79.	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
80.	I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 5–8
81.	I. V. Volovich, “Preface”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2(23) (2011), 131–134
82.	I. V. Volovich, “Randomness in classical mechanics and quantum mechanics”, Found. Phys., 41:3 (2011), 516–528	24 ^[x]
83.	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.	15 ^[x]
84.	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.	91 ^[x]
85.	“I.Ya. Aref`eva, I.V. Volovich”, “Cosmological daemon”, JHEP, 2011:8 (2011), 102, 32 pp., arXiv: 1103.0273	32 ^[x]
86.	I. Ya. Aref'eva, I. V. Volovich, Superluminal dark neutrinos, 2011, arXiv: 1110.0456
87.	I. V. Volovich, Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities, 2011, 5 pp., arXiv: 1106.1892
88.	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	12 ^[x]

2010
89.	I. V. Volovich, “Bogoliubov equations and functional mechanics”, Theoret. and Math. Phys., 164:3 (2010), 1128–1135
90.	I. V. Volovich, “Number theory as the ultimate physical theory”, P-Adic Numbers Ultrametric Anal. Appl., 2:1 (2010), 77–87	91 ^[x]
91.	I. V. Volovich, “Functional mechanics and time irreversibility problem”, Quantum bio-informatics III, QP–PQ: Quantum Probab. White Noise Anal., 26, World Sci. Publ., Hackensack, NJ, 2010, 393–404	5 ^[x]

Full list of publications