Edit Profile (opens in new tab) Volovich, Igor’ Vasil’evich Compute Distance To: Compute Author ID: volovich.igor-v Published as: Volovich, I. V.; Volovich, Igor V.; Volovich, Igor; Volovich, Igor A.; Volovic, I. V.; Volovich, Igor’ Vasil’evich; Volovich, I. more...less External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 179 Publications since 1977, including 4 Books 7 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 85 Co-Authors with 158 Joint Publications 2,587 Co-Co-Authors all top 5 Co-Authors 28 single-authored 45 Aref’eva, Irina Yaroslavna 26 Vladimirov, Vasiliĭ Sergeevich 18 Kozyrev, Sergeĭ Vladimirovich 16 Accardi, Luigi 13 Khrennikov, Andreĭ Yur’evich 13 Ohya, Masanori 8 Dragovich, Branko 7 Francaviglia, Mauro 7 Kozlov, Valeriĭ Vasil’evich 6 Drozhzhinov, Yuriĭ Nikolaevich 6 Trushechkin, Anton Sergeevich 6 Zelenov, Evgenii I. 5 Ferraris, Marco 5 Gushchin, Anatoliĭ Konstantinovich 5 Inoue, Kei 5 Katanaev, Mikhaĭl Orinovich 5 Viswanathan, Kadayam S. 4 Borowiec, Andrzej Zdzisław 4 Ivanov, Mikhaĭl Gennad’evich 4 Mikhajlov, Valentin Petrovich 4 Zharinov, Victor Victorovich 3 Il’in, Vladimir Aleksandrovich 3 Inozemcev, O. V. 3 Lu, Yun Gang 3 Nilsson, Börje E. 3 Nordebo, Sven 3 Pechen, Alexander Nikolaevich 3 Rytchkov, O. A. 3 Sadovnichiĭ, Viktor Antonovich 3 Sakbaev, Vsevolod Zhanovich 3 Sergeev, Armen Glebovich 2 Bogachev, Vladimir Igorevich 2 Bogoyavlenskij, Oleg Igorevich 2 Đorđević, Goran S. 2 Frolov, Valeri P. 2 Iriyama, Satoshi 2 Kashin, Boris Sergeevich 2 Khramtsov, Mikhail A. 2 Marchuk, Guriĭ Ivanovich 2 Maslov, Viktor Pavlovich 2 Medvedev, P. B. 2 Mück, Wolfgang 2 2 Piskovskiĭ, Evgeniĭ Viktorovich 2 Rakić, Zoran 2 Shavgulidze, Eugene T. 2 Stëpin, Anatoliĭ Mikhaĭlovich 2 Tikhomirov, Vladimir Mikhaĭlovich 2 Watanabe, Noboru 2 Zagrebnov, Valentin A. 2 Zav’yalov, Boris Ivanovich 1 Albeverio, Sergio A. 1 Anashin, Vladimir Sergeevich 1 Bikulov, Al’bert Khakimovich 1 Bolibrukh, Andreĭ Andreevich 1 Chebotarev, Alexandr M. 1 Cianci, Roberto 1 Dezin, Alekseĭ Alekseevich 1 Drozhinov, Yu. N. 1 Finashina, G. N. 1 Frampton, Paul Howard 1 Gibilisco, Paolo 1 Gonchar, Andreĭ Aleksandrovich 1 Groshev, Oleg Viktorovich 1 Grothaus, Martin 1 Ishiwatari, T. 1 Khokhlova, M. N. 1 Kirillov, A. I. 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kuryanovich, Èduard Anatol’evich 1 Léandre, Rémi 1 Logunov, Anatoliĭ Alekseevich 1 Millionshchikov, Vladimir Mikhaĭlovich 1 Mironov, A. A. 1 Moiseev, Evgeniĭ Ivanovich 1 Nešić, Ljubiša D. 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Osipov, Yuriĭ Sergeevich 1 Pal’tsev, B. V. 1 Paton, Borys Yevgenovych 1 Prokhorenko, Dmitrij Vladimirovich 1 Ramachandra, Kanakanahalli 1 Semenova, S. V. 1 Streit, Ludwig 1 Teretenkov, Alexander E. 1 Tikhanovskaya, Maria D. 1 Trelewicz, Jennifer Q. 1 Uglanov, Alexey V. 1 Volovich, A. I. all top 5 Serials 19 Theoretical and Mathematical Physics 13 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 12 Proceedings of the Steklov Institute of Mathematics 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Russian Mathematical Surveys 6 Soviet Mathematics. Doklady 4 Modern Physics Letters A 4 Classical and Quantum Gravity 4 Letters in Mathematical Physics 4 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 3 International Journal of Modern Physics A 3 Nuclear Physics. B 3 Teoreticheskaya i Matematicheskaya Fizika 3 Annals of Physics 3 Journal of Physics A: Mathematical and General 3 Soviet Physics. Doklady 3 Doklady Mathematics 3 RIMS Kokyuroku 3 Journal of High Energy Physics 3 International Journal of Geometric Methods in Modern Physics 2 Journal of Mathematical Physics 2 Physics Letters. A 2 Izvestiya: Mathematics 2 Open Systems & Information Dynamics 2 Foundations of Physics 2 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Communications in Mathematical Physics 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Physica A 1 Reports on Mathematical Physics 1 Chaos, Solitons and Fractals 1 Differential Equations 1 Journal of Soviet Mathematics 1 Mathematics of the USSR. Izvestiya 1 Acta Applicandae Mathematicae 1 Differential Geometry and its Applications 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Serdica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Nuclear Physics. B. Proceedings Supplements 1 Physics-Doklady 1 Russian Journal of Mathematical Physics 1 Soft Computing 1 Physica Scripta 1 Entropy 1 Information 1 International Journal of Quantum Information 1 AIP Conference Proceedings 1 Journal of Physics A: Mathematical and Theoretical 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Theoretical and Mathematical Physics (Cham) all top 5 Fields 119 Quantum theory (81-XX) 34 Relativity and gravitational theory (83-XX) 26 Differential geometry (53-XX) 24 Partial differential equations (35-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Functional analysis (46-XX) 16 Global analysis, analysis on manifolds (58-XX) 14 History and biography (01-XX) 11 Number theory (11-XX) 11 Probability theory and stochastic processes (60-XX) 10 Operator theory (47-XX) 9 General and overarching topics; collections (00-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Information and communication theory, circuits (94-XX) 8 Mechanics of particles and systems (70-XX) 5 Field theory and polynomials (12-XX) 5 Topological groups, Lie groups (22-XX) 5 Computer science (68-XX) 4 Nonassociative rings and algebras (17-XX) 4 Mechanics of deformable solids (74-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Special functions (33-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 132 Publications have been cited 2,006 times in 1,187 Documents Cited by ▼ Year ▼ \(p\)-adic analysis and mathematical physics. Zbl 0812.46076Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 439 1994 On \(p\)-adic mathematical physics. Zbl 1187.81004Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. 143 2009 p-adic quantum mechanics. Zbl 0688.22004Vladimirov, V. S.; Volovich, I. V. 123 1989 p-adic space-time and string theory. Zbl 0636.12015Volovich, I. V. 89 1987 Theory of defects in solids and three-dimensional gravity. Zbl 0875.53018Katanaev, M. O.; Volovich, I. V. 72 1992 Quantum theory and its stochastic limit. Zbl 1140.81307Accardi, Luigi; Lu, Yun Gang; Volovich, Igor 72 2002 Number theory as the ultimate physical theory. Zbl 1258.81074Volovich, Igor V. 66 2010 Superanalysis, I. Differential calculus. Zbl 0552.46023Vladimirov, V. S.; Volovich, I. V. 59 1984 Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems. Zbl 1269.81002Ohya, Masanori; Volovich, Igor 59 2011 \(p\)-adic analysis and mathematical physics. (\(p\)-adicheskij analiz i matematicheskaya fizika.) Zbl 0864.46048Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 54 1994 The wave function of the universe and p-adic gravity. Zbl 0733.53039Aref’eva, I. Ya.; Dragovich, B.; Frampton, P. H.; Volovich, I. V. 52 1991 Superanalysis. II: Integral calculus. Zbl 0599.46068Vladimirov, V. S.; Volovich, I. V. 40 1984 \(p\)-adic mathematical physics: the first 30 years. Zbl 1394.81009Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I. 31 2017 Anti-Kählerian manifolds. Zbl 0972.53043Borowiec, Andrzej; Francaviglia, Mauro; Volovich, Igor 30 2000 The universality of vacuum Einstein equations with cosmological constant. Zbl 0810.53074Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 25 1994 P-adic Schrödinger-type equation. Zbl 0702.35219Vladimirov, V. S.; Volovich, I. V. 23 1989 Two-dimensional gravity with dynamical torsion and strings. Zbl 0875.53030Katanaev, M. O.; Volovich, I. V. 20 1990 Manipulation of states of a degenerate quantum system. Zbl 1358.81132Volovich, I. V.; Kozyrev, S. V. 20 2016 Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian. Zbl 0904.58011Accardi, Luigi; Gibilisco, Paolo; Volovich, Igor A. 18 1994 \(p\)-adic Brownian motion. Zbl 0896.60044Bikulov, A. Kh.; Volovich, I. V. 17 1997 Harmonic analysis and p-adic strings. Zbl 0668.43006Volovich, I. V. 17 1988 Almost-complex and almost-product Einstein manifolds from a variational principle. Zbl 0977.53042Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 16 1999 Cosmological daemon. Zbl 1298.81234Aref’eva, I. Ya.; Volovich, I. V. 14 2011 Bogoliubov equations and functional mechanics. Zbl 1252.82075Volovich, I. V. 14 2010 The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037Léandre, Rémi; Volovich, Igor A. 13 2001 Stochastic limit method and interference in quantum many-particle systems. Zbl 1327.81310Aref’eva, I. Ya.; Volovich, I. V.; Kozyrev, S. V. 13 2015 New quantum algorithm for studying NP-complete problems. Zbl 1053.81014Ohya, Masanori; Volovich, Igor V. 13 2003 Cauchy-Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light. Zbl 1377.81266Volovich, Igor V. 13 2016 Functional classical mechanics and rational numbers. Zbl 1387.70003Trushechkin, Anton S.; Volovich, Igor V. 13 2009 The master field for QCD and \(q\)-deformed quantum field theory. Zbl 1004.81567Aref’eva, I. Ya.; Volovich, I. V. 12 1996 Randomness in classical mechanics and Quantum mechanics. Zbl 1210.81007Volovich, Igor V. 12 2011 Consistent linearized gravity in brane backgrounds. Zbl 1006.83043Aref’eva, I. Ya.; Ivanov, M. G.; Mück, W.; Viswanathan, K. S.; Volovich, I. V. 12 2000 Universality of the Einstein equations for Ricci squared Lagrangians. Zbl 0908.53049Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 12 1998 Spectral theory in p-adic quantum mechanics and theory of representations. Zbl 0709.22010Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 12 1990 Replica-nondiagonal solutions in the SYK model. Zbl 1418.83035Aref’eva, Irina; Khramtsov, Mikhail; Tikhanovskaya, Maria; Volovich, Igor 12 2019 The null energy condition and cosmology. Zbl 1159.83368Aref’eva, I. Ya.; Volovich, I. V. 12 2008 Flows in non-equilibrium quantum systems and quantum photosynthesis. Zbl 1386.81107Kozyrev, S. V.; Mironov, A. A.; Teretenkov, A. E.; Volovich, I. V. 12 2017 Quantum group gauge fields. Zbl 1020.81639Aref’eva, I. Ya.; Volovich, I. V. 11 1991 Chaos in M(atrix) theory. Zbl 0997.81107Aref’eva, I. Ya.; Medvedev, P. B.; Rytchkov, O. A.; Volovich, I. V. 11 1999 \(p\)-adic and adelic minisuperspace quantum cosmology. Zbl 1007.83042Djordjević, Goran S.; Dragovich, Branko; Nešić, Ljubiša D.; Volovich, Igor V. 11 2002 Finite action Klein–Gordon solutions on Lorentzian manifolds. Zbl 1203.58009Kozlov, V. V.; Volovich, I. V. 11 2006 Scattering on dislocations and cosmic strings in the geometric theory of defects. Zbl 0922.73051Katanaev, M. O.; Volovich, I. V. 10 1999 Supersymmetric Yang-Mills equations as an inverse scattering problem. Zbl 0537.35070Volovich, I. V. 10 1983 Spectral theory in p-adic quantum mechanics, and representation theory. Zbl 0715.22029Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 10 1991 Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism. Zbl 0810.53073Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 9 1994 Quantum multiple noise and generalized quantum stochastic equations. Zbl 1051.81019Pechen, A. N.; Volovich, I. V. 9 2002 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105Volovich, I. V.; Sakbaev, V. Zh. 9 2018 Holographic thermalization. Zbl 1280.81105Arefeva, I. Ya.; Volovich, I. V. 9 2013 Local and nonlocal currents for nonlinear equations. Zbl 0566.35090Vladimirov, V. S.; Volovich, I. V. 8 1985 Quantum stochastic equation for the low density limit. Zbl 1052.81055Accardi, L.; Pechen, A. N.; Volovich, I. V. 8 2002 Time machine at the LHC. Zbl 1141.83303Aref’eva, I. Ya.; Volovich, I. V. 8 2008 Quantization of the Riemann zeta-function and cosmology. Zbl 1162.11059Aref’eva, I. Ya; Volovich, I. V. 7 2007 On quantum capacity and its bound. Zbl 1046.94005Ohya, Masanori; Volovich, Igor V. 6 2003 A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019Accardi, L.; Pechen, A. N.; Volovich, I. V. 6 2003 Planckian-energy scattering, colliding plane gravitational waves and black hole creation. Zbl 0925.83035Aref’eva, I. Ya; Viswanathan, K. S.; Volovich, I. V. 6 1995 p-adic quantum mechanics. Zbl 0694.22004Vladimirov, V. S.; Volovich, I. V. 6 1988 Hidden-symmetry algebra for a supersymmetric gauge-invariant model. Zbl 0579.58037Aref’eva, I. Ya.; Volovich, I. V. 5 1985 Semiclassical properties and chaos degree for the quantum baker’s map. Zbl 1059.81067Inoue, Kei; Ohya, Masanori; Volovich, Igor V. 5 2002 Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor 5 1998 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Notes on the SYK model in real time. Zbl 1411.82043Aref’eva, I. Ya.; Volovich, I. V. 5 2018 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606Sakbaev, V. Zh.; Volovich, I. V. 5 2017 Rolling in the Higgs model and elliptic functions. Zbl 1356.70034Arefeva, I. Ya.; Volovich, I. V.; Piskovskiy, E. V. 5 2012 Dark states in quantum photosynthesis. Zbl 1404.92019Kozyrev, S. V.; Volovich, I. V. 4 2018 Functional stochastic classical mechanics. Zbl 1367.70002Volovich, I. V. 4 2015 Non-extremal localized branes and vacuum solutions in M-theory. Zbl 0942.83055Aref’eva, I. Ya.; Ivanov, M. G.; Rytchkov, O. A.; Volovich, I. V. 4 1998 Boundary value problems of mathematical physics. Zbl 0627.35080Bogoyavlenskij, O. I.; Vladimirov, V. S.; Volovich, I. V.; Gushchin, A. K.; Drozhzhinov, Yu. N.; Zharinov, V. V.; Mikhajlov, V. P. 4 1986 Square integrable solutions to the Klein-Gordon equation on a manifold. Zbl 1168.58011Volovich, I. V.; Kozlov, V. V. 4 2006 Spontaneous symmetry breaking in fermionic random matrix model. Zbl 1427.81056Aref’eva, Irina; Volovich, Igor 4 2019 On solutions to the wave equation on a non-globally hyperbolic manifold. Zbl 1193.58015Volovich, I. V.; Groshev, O. V.; Gusev, N. A.; Kuryanovich, E. A. 4 2009 Variational calculus and Poincaré-Cartan formalism on supermanifolds. Zbl 0852.58012Cianci, Roberto; Francaviglia, Mauro; Volovich, Igor 3 1995 The master field for large-\(N\) matrix models and quantum groups. Zbl 1022.81552Accardi, L.; Aref’eva, I. Ya.; Kozyrev, S. V.; Volovich, I. V. 3 1995 Models of quantum computers and decoherence problem. Zbl 0986.81018Volovich, I. V. 3 1999 Conservation laws for nonlinear equations. Zbl 0613.35062Vladimirov, V. S.; Volovich, I. V. 3 1985 Superanalysis. Integral calculus. Zbl 0596.58009Vladimirov, V. S.; Volovich, I. V. 3 1984 Dynamical \(q\)-deformation in quantum theory and the stochastic limit. Zbl 0962.81032Accardi, L.; Kozyrev, S. V.; Volovich, I. V. 3 1999 Spectral theory in p-adic quantum mechanics, and representation theory. Zbl 0721.46047Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 3 1990 Complete integrability of quantum and classical dynamical systems. Zbl 1436.81036Volovich, Igor V. 3 2019 Cauchy problem on non-globally hyperbolic space-times. Zbl 1155.81358Aref’eva, I. Ya.; Ishiwatari, T.; Volovich, I. V. 3 2008 Distance dependence of entangled photons in waveguides. Zbl 1271.81024Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V. 3 2012 Squeezed quantum states on an interval and uncertainty relations for nanoscale systems. Zbl 1180.81075Volovich, I. V.; Trushechkin, A. S. 3 2009 Quantization of propagating modes in optical fibres. Zbl 1278.81175Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V. 3 2012 A model of affine gravity in two dimensions and plurality of topology. Zbl 0902.53060Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 2 1997 Non-exponential decay for polaron model. Zbl 0955.81065Accardi, L.; Kozyrev, S. V.; Volovich, I. V. 2 1999 Application of \(p\)-adic numbers in mathematical physics. Zbl 0977.11505Vladimirov, V. S.; Volovich, I. V. 2 1991 Photon flux and distance from the source: consequences for quantum communication. Zbl 1302.81077Khrennikov, Andrei; Nilsson, Börje; Nordebo, Sven; Volovich, Igor 2 2014 Superanalysis. Differential calculus. Zbl 0552.58002Vladimirov, V. S.; Volovich, I. V. 2 1983 Noncommutative gauge fields on Poisson manifolds. Zbl 0970.81066Aref’eva, I. Ya.; Volovich, I. V. 2 2000 Affine strings. Zbl 1021.81772Volovich, I. V. 2 1993 From \(p\)-adic strings to étale strings. Zbl 0912.14006Volovich, I. V. 2 1994 Composite \(p\)-branes in various dimensions. Zbl 0925.83070Aref’eva, I. Ya.; Viswanathan, K. S.; Volovich, A. I.; Volovich, I. V. 2 1997 Local realistic representation for correlations in the original EPR-model for position and momentum. Zbl 1097.81004Khrennikov, A.; Volovich, I. 2 2006 Scalar fields and dynamical torsion in Kaluza-Klein theories. Zbl 0624.53048Volovich, I. V.; Katanaev, M. O. 2 1986 The Wiener-Hopf equation, the Riemann-Hilbert problem, and orthogonal polynomials. Zbl 0533.15001Vladimirov, V. S.; Volovich, I. V. 2 1982 \(\Lambda\)-supermanifolds and fiber bundles. Zbl 0533.58005Volovich, I. V. 2 1983 On computational complexity of quantum algorithm for factoring. Zbl 1325.81054Iriyama, Satoshi; Ohya, Masanori; Volovich, Igor V. 2 2013 Conservation laws for nonlinear equations. Zbl 0597.47030Vladimirov, V. S.; Volovich, I. V. 2 1984 Functional higher conservation laws in gauge theories. Zbl 0504.53054Aref’eva, I. Ya.; Volovich, I. V. 2 1981 Modeling theory and hypergraph of classes. Zbl 1098.93001Volovich, I. V.; Khokhlova, M. N. 2 2004 Analysis of business connections utilizing theory of topology of random graphs. Zbl 1152.91701Trelewicz, Jennifer Q.; Volovich, Igor V. 2 2006 Replica-nondiagonal solutions in the SYK model. Zbl 1418.83035Aref’eva, Irina; Khramtsov, Mikhail; Tikhanovskaya, Maria; Volovich, Igor 12 2019 Spontaneous symmetry breaking in fermionic random matrix model. Zbl 1427.81056Aref’eva, Irina; Volovich, Igor 4 2019 Complete integrability of quantum and classical dynamical systems. Zbl 1436.81036Volovich, Igor V. 3 2019 Revealing nonperturbative effects in the SYK model. Zbl 1441.81121Aref’eva, I. Ya.; Volovich, I. V.; Khramtsov, M. A. 1 2019 Quasi-averages in random matrix models. Zbl 1447.82031Aref’eva, I. Ya.; Volovich, I. V. 1 2019 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105Volovich, I. V.; Sakbaev, V. Zh. 9 2018 Notes on the SYK model in real time. Zbl 1411.82043Aref’eva, I. Ya.; Volovich, I. V. 5 2018 Dark states in quantum photosynthesis. Zbl 1404.92019Kozyrev, S. V.; Volovich, I. V. 4 2018 \(p\)-adic mathematical physics: the first 30 years. Zbl 1394.81009Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V.; Zelenov, E. I. 31 2017 Flows in non-equilibrium quantum systems and quantum photosynthesis. Zbl 1386.81107Kozyrev, S. V.; Mironov, A. A.; Teretenkov, A. E.; Volovich, I. V. 12 2017 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606Sakbaev, V. Zh.; Volovich, I. V. 5 2017 Holographic control of information and dynamical topology change for composite open quantum systems. Zbl 1386.81105Aref’eva, I. Ya.; Volovich, I. V.; Inozemcev, O. V. 1 2017 \(p\)-adic mathematical physics and B. Dragovich research. Zbl 1364.81008Aref’eva, I. Ya.; Djordjevic, G. S.; Khrennikov, A. Yu.; Kozyrev, S. V.; Rakic, Z.; Volovich, I. V. 1 2017 Manipulation of states of a degenerate quantum system. Zbl 1358.81132Volovich, I. V.; Kozyrev, S. V. 20 2016 Cauchy-Schwarz inequality-based criteria for the non-classicality of sub-Poisson and antibunched light. Zbl 1377.81266Volovich, Igor V. 13 2016 Stochastic limit method and interference in quantum many-particle systems. Zbl 1327.81310Aref’eva, I. Ya.; Volovich, I. V.; Kozyrev, S. V. 13 2015 Functional stochastic classical mechanics. Zbl 1367.70002Volovich, I. V. 4 2015 On quantum algorithm for binary search and its computational complexity. Zbl 1328.81080Iriyama, S.; Ohya, M.; Volovich, I. V. 1 2015 Fermionic Meixner classes, Lie algebras and quadratic Hamiltonians. Zbl 1403.81078Accardi, L.; Aref’eva, I. Ya.; Volovich, I. V. 1 2015 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Photon flux and distance from the source: consequences for quantum communication. Zbl 1302.81077Khrennikov, Andrei; Nilsson, Börje; Nordebo, Sven; Volovich, Igor 2 2014 Quinary lattice model of secondary structures of polymers. Zbl 1395.82273Kozyrev, S. V.; Volovich, I. V. 1 2014 Holographic thermalization. Zbl 1280.81105Arefeva, I. Ya.; Volovich, I. V. 9 2013 On computational complexity of quantum algorithm for factoring. Zbl 1325.81054Iriyama, Satoshi; Ohya, Masanori; Volovich, Igor V. 2 2013 Rolling in the Higgs model and elliptic functions. Zbl 1356.70034Arefeva, I. Ya.; Volovich, I. V.; Piskovskiy, E. V. 5 2012 Distance dependence of entangled photons in waveguides. Zbl 1271.81024Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V. 3 2012 Quantization of propagating modes in optical fibres. Zbl 1278.81175Khrennikov, A.; Nilsson, B.; Nordebo, S.; Volovich, I. V. 3 2012 Asymptotic expansion of solutions in a rolling problem. Zbl 1304.34100Aref’eva, I. Ya.; Volovich, I. V. 1 2012 Asymptotic properties of quantum dynamics in bounded domains at various time scales. Zbl 1251.81042Volovich, I. V.; Trushechkin, A. S. 1 2012 Mathematical foundations of quantum information and computation and its applications to nano- and bio-systems. Zbl 1269.81002Ohya, Masanori; Volovich, Igor 59 2011 Cosmological daemon. Zbl 1298.81234Aref’eva, I. Ya.; Volovich, I. V. 14 2011 Randomness in classical mechanics and Quantum mechanics. Zbl 1210.81007Volovich, Igor V. 12 2011 The Arrhenius formula in kinetic theory and Witten’s spectral asymptotics. Zbl 1219.82123Kozyrev, S. V.; Volovich, I. V. 1 2011 On nonlocal cosmological equations on half-line. Zbl 1449.83006Aref’eva, Irina Yaroslavna; Volovich, Igor’ Vasil’evich 1 2011 Number theory as the ultimate physical theory. Zbl 1258.81074Volovich, Igor V. 66 2010 Bogoliubov equations and functional mechanics. Zbl 1252.82075Volovich, I. V. 14 2010 On \(p\)-adic mathematical physics. Zbl 1187.81004Dragovich, B.; Khrennikov, A. Yu.; Kozyrev, S. V.; Volovich, I. V. 143 2009 Functional classical mechanics and rational numbers. Zbl 1387.70003Trushechkin, Anton S.; Volovich, Igor V. 13 2009 On solutions to the wave equation on a non-globally hyperbolic manifold. Zbl 1193.58015Volovich, I. V.; Groshev, O. V.; Gusev, N. A.; Kuryanovich, E. A. 4 2009 Squeezed quantum states on an interval and uncertainty relations for nanoscale systems. Zbl 1180.81075Volovich, I. V.; Trushechkin, A. S. 3 2009 On a combined quantum Baker’s map and its characterization by entropic chaos degree. Zbl 1187.81130Inoue, Kei; Ohya, Masanori; Volovich, Igor V. 1 2009 The null energy condition and cosmology. Zbl 1159.83368Aref’eva, I. Ya.; Volovich, I. V. 12 2008 Time machine at the LHC. Zbl 1141.83303Aref’eva, I. Ya.; Volovich, I. V. 8 2008 Cauchy problem on non-globally hyperbolic space-times. Zbl 1155.81358Aref’eva, I. Ya.; Ishiwatari, T.; Volovich, I. V. 3 2008 Quantization of the Riemann zeta-function and cosmology. Zbl 1162.11059Aref’eva, I. Ya; Volovich, I. V. 7 2007 Finite action Klein–Gordon solutions on Lorentzian manifolds. Zbl 1203.58009Kozlov, V. V.; Volovich, I. V. 11 2006 Square integrable solutions to the Klein-Gordon equation on a manifold. Zbl 1168.58011Volovich, I. V.; Kozlov, V. V. 4 2006 Local realistic representation for correlations in the original EPR-model for position and momentum. Zbl 1097.81004Khrennikov, A.; Volovich, I. 2 2006 Analysis of business connections utilizing theory of topology of random graphs. Zbl 1152.91701Trelewicz, Jennifer Q.; Volovich, Igor V. 2 2006 Square integrable solutions to the Klein-Gordon equation on a manifold. Zbl 1327.58028Volovich, I. V.; Kozlov, V. V. 1 2006 Modeling theory and hypergraph of classes. Zbl 1098.93001Volovich, I. V.; Khokhlova, M. N. 2 2004 Renormalization in quantum electrodynamics and Hopf algebras. Zbl 1181.81091Volovich, I. V.; Prokhorenko, D. V. 1 2004 New quantum algorithm for studying NP-complete problems. Zbl 1053.81014Ohya, Masanori; Volovich, Igor V. 13 2003 On quantum capacity and its bound. Zbl 1046.94005Ohya, Masanori; Volovich, Igor V. 6 2003 A stochastic golden rule and quantum Langevin equation for the low density limit. Zbl 1053.82019Accardi, L.; Pechen, A. N.; Volovich, I. V. 6 2003 Quantum theory and its stochastic limit. Zbl 1140.81307Accardi, Luigi; Lu, Yun Gang; Volovich, Igor 72 2002 \(p\)-adic and adelic minisuperspace quantum cosmology. Zbl 1007.83042Djordjević, Goran S.; Dragovich, Branko; Nešić, Ljubiša D.; Volovich, Igor V. 11 2002 Quantum multiple noise and generalized quantum stochastic equations. Zbl 1051.81019Pechen, A. N.; Volovich, I. V. 9 2002 Quantum stochastic equation for the low density limit. Zbl 1052.81055Accardi, L.; Pechen, A. N.; Volovich, I. V. 8 2002 Semiclassical properties and chaos degree for the quantum baker’s map. Zbl 1059.81067Inoue, Kei; Ohya, Masanori; Volovich, Igor V. 5 2002 Quantum information in space and time and theory of stochastic processes. Zbl 1022.81007Volovich, Igor V. 1 2002 The stochastic Lévy Laplacian and Yang-Mills equation on manifolds. Zbl 1049.58037Léandre, Rémi; Volovich, Igor A. 13 2001 Entropy bounds, holographic principle and uncertainty relation. Zbl 0995.81157Ivanov, M. G.; Volovich, I. V. 1 2001 \(p\)-adic strings and noncommutativity. Zbl 1248.81162Dragovich, Branko; Volovich, Igor V. 1 2001 Anti-Kählerian manifolds. Zbl 0972.53043Borowiec, Andrzej; Francaviglia, Mauro; Volovich, Igor 30 2000 Consistent linearized gravity in brane backgrounds. Zbl 1006.83043Aref’eva, I. Ya.; Ivanov, M. G.; Mück, W.; Viswanathan, K. S.; Volovich, I. V. 12 2000 Noncommutative gauge fields on Poisson manifolds. Zbl 0970.81066Aref’eva, I. Ya.; Volovich, I. V. 2 2000 The large time behaviour in quantum field theory and quantum chaos. Zbl 1027.81023Aref’eva, I. Ya.; Volovich, I. V. 1 2000 Nonequilibrium quantum field theory and entangled commutation relations. Zbl 0986.81117Accardi, L.; Aref’eva, I. Ya.; Volovich, I. V. 1 2000 A white-noise approach to stochastic calculus. Zbl 0979.60057Accardi, Luigi; Lu, Yun Gang; Volovich, Igor V. 1 2000 NP-complete problems with chaotic dynamics. Zbl 0980.81019Ohya, Masanori; Volovich, Igor V. 1 2000 Almost-complex and almost-product Einstein manifolds from a variational principle. Zbl 0977.53042Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 16 1999 Chaos in M(atrix) theory. Zbl 0997.81107Aref’eva, I. Ya.; Medvedev, P. B.; Rytchkov, O. A.; Volovich, I. V. 11 1999 Scattering on dislocations and cosmic strings in the geometric theory of defects. Zbl 0922.73051Katanaev, M. O.; Volovich, I. V. 10 1999 Models of quantum computers and decoherence problem. Zbl 0986.81018Volovich, I. V. 3 1999 Dynamical \(q\)-deformation in quantum theory and the stochastic limit. Zbl 0962.81032Accardi, L.; Kozyrev, S. V.; Volovich, I. V. 3 1999 Non-exponential decay for polaron model. Zbl 0955.81065Accardi, L.; Kozyrev, S. V.; Volovich, I. V. 2 1999 Quantum white noise with singular nonlinear interaction. Zbl 1064.81519Accardi, L.; Volovich, I. V. 1 1999 Knots, Feynman diagrams and matrix models. Zbl 1043.81631Grothaus, Martin; Streit, Ludwig; Volovich, Igor V. 1 1999 Universality of the Einstein equations for Ricci squared Lagrangians. Zbl 0908.53049Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 12 1998 Nonlinear extensions of classical and quantum stochastic calculus and essentially infinite dimensional analysis. Zbl 1044.81647Accardi, Luigi; Lu, Yun-Gang; Volovich, Igor 5 1998 Non-extremal localized branes and vacuum solutions in M-theory. Zbl 0942.83055Aref’eva, I. Ya.; Ivanov, M. G.; Rytchkov, O. A.; Volovich, I. V. 4 1998 Knots and matrix models. Zbl 0909.57001Aref’eva, I. Ya.; Volovich, I. V. 1 1998 Planckian energy scattering of \(D\)-branes and M(atrix) theory in curved space. Zbl 0933.81019Volovich, I. V. 1 1998 \(p\)-adic Brownian motion. Zbl 0896.60044Bikulov, A. Kh.; Volovich, I. V. 17 1997 A model of affine gravity in two dimensions and plurality of topology. Zbl 0902.53060Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 2 1997 Composite \(p\)-branes in various dimensions. Zbl 0925.83070Aref’eva, I. Ya.; Viswanathan, K. S.; Volovich, A. I.; Volovich, I. V. 2 1997 The master field for QCD and \(q\)-deformed quantum field theory. Zbl 1004.81567Aref’eva, I. Ya.; Volovich, I. V. 12 1996 Planckian-energy scattering, colliding plane gravitational waves and black hole creation. Zbl 0925.83035Aref’eva, I. Ya; Viswanathan, K. S.; Volovich, I. V. 6 1995 Variational calculus and Poincaré-Cartan formalism on supermanifolds. Zbl 0852.58012Cianci, Roberto; Francaviglia, Mauro; Volovich, Igor 3 1995 The master field for large-\(N\) matrix models and quantum groups. Zbl 1022.81552Accardi, L.; Aref’eva, I. Ya.; Kozyrev, S. V.; Volovich, I. V. 3 1995 \(p\)-adic analysis and mathematical physics. Zbl 0812.46076Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 439 1994 \(p\)-adic analysis and mathematical physics. (\(p\)-adicheskij analiz i matematicheskaya fizika.) Zbl 0864.46048Vladimirov, V. S.; Volovich, I. V.; Zelenov, E. I. 54 1994 The universality of vacuum Einstein equations with cosmological constant. Zbl 0810.53074Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 25 1994 Yang-Mills gauge fields as harmonic functions for the Lévy Laplacian. Zbl 0904.58011Accardi, Luigi; Gibilisco, Paolo; Volovich, Igor A. 18 1994 Energy-momentum complex for nonlinear gravitational Lagrangians in the first-order formalism. Zbl 0810.53073Borowiec, Andrzej; Ferraris, Marco; Francaviglia, Mauro; Volovich, Igor 9 1994 From \(p\)-adic strings to étale strings. Zbl 0912.14006Volovich, I. V. 2 1994 Coherent states, dynamics and semiclassical limit on quantum groups. Zbl 1021.81559Aref’eva, I. Ya.; Parthasarathy, R.; Viswanathan, K. S.; Volovich, I. V. 1 1994 Affine strings. Zbl 1021.81772Volovich, I. V. 2 1993 Theory of defects in solids and three-dimensional gravity. Zbl 0875.53018Katanaev, M. O.; Volovich, I. V. 72 1992 ...and 32 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 988 Authors 102 Khrennikov, Andreĭ Yur’evich 56 Volovich, Igor’ Vasil’evich 39 Aref’eva, Irina Yaroslavna 37 Kozyrev, Sergeĭ Vladimirovich 35 Zúñiga-Galindo, Wilson A. 33 Dragovich, Branko 31 Mukhamedov, Farruh Maksutovich 26 Cho, Ilwoo 23 Sakbaev, Vsevolod Zhanovich 19 Ohya, Masanori 18 Albeverio, Sergio A. 17 Pechen, Alexander Nikolaevich 17 Shelkovich, Vladimir M. 17 Vladimirov, Vasiliĭ Sergeevich 16 Accardi, Luigi 16 Smolyanov, Oleg Georgievich 16 Zelenov, Evgenii I. 15 Khakimov, Otabek N. 14 Katanaev, Mikhaĭl Orinovich 13 Bakke, Knut 13 Trushechkin, Anton Sergeevich 13 Volosivets, Sergeĭ Sergeevich 12 Bikulov, Al’bert Khakimovich 12 Duong, Dao Van 12 Zubarev, Aleksandr Petrovich 11 Francaviglia, Mauro 11 Jørgensen, Palle E. T. 11 Nguyen Minh Chuong 10 Kochubeĭ, Anatoliĭ Naumovych 10 Ludkovsky, Sergey Victor 10 Rozikov, Utkir A. 9 Teretenkov, Alexander E. 9 Volkov, Boris O. 8 Chacón-Cortes, Leonardo Fabio 8 Rakić, Zoran 8 Sarfraz, Naqash 8 Shamarov, Nikolaĭ Nikolaevich 7 Bendikov, Alexander D. 7 Cianci, Roberto 7 Đorđević, Goran S. 7 Furtado, Claudio 7 Iriyama, Satoshi 7 Kaneko, Hiroshi 7 Koshelev, Alexey S. 7 Torresblanca-Badillo, Anselmo 7 Watanabe, Noboru 6 Capozziello, Salvatore 6 Dimitrijevic, Ivan 6 Dung, Kieu Huu 6 Eshaghi Gordji, Madjid 6 Fan, Ai Hua 6 Ferraris, Marco 6 Ghoshal, Debashis 6 Oleschko, Klaudia 6 Pestov, Vladimir G. 6 Stankovic, Jelena 6 Varadarajan, Veeravalli S. 5 Anashin, Vladimir Sergeevich 5 Asano, Masanari 5 Basieva, Irina 5 Cioroianu, Eugen-Mihăiţă 5 Digernes, Trond 5 Estala-Arias, Samuel 5 Evdokimov, Sergeĭ Alekseevich 5 Fan, Engui 5 Fatibene, Lorenzo 5 Fu, Zunwei 5 García-Compeán, Hugo 5 Hussain, Amjad 5 Ilić Stepić, Angelina 5 Lerner, Èduard Yul’evich 5 Mišić, Nataša Ž. 5 Nešić, Ljubiša D. 5 Platonov, Sergei S. 5 Reyes, Enrique G. 5 Săraru, Silviu Constantin 5 Sardanashvily, Gennadi A. 5 Sattorov, Ermamat N. 5 Skopina, Maria A. 5 Weisbart, David 5 Wu, Qingyan 5 Zhang, Xiongying 5 Zharinov, Victor Victorovich 4 Ageev, Dmitriĭ Sergeevich 4 Avetisov, Vladik Avanesovich 4 Bizdadea, Constantin 4 Casas-Sánchez, Oscar Francisco 4 Cui, Minggen 4 de M. Carvalho, Alexandre M. 4 Dutta, Parikshit 4 Ermamatova, F. E. 4 Fagnola, Franco 4 Galeano-Peñaloza, Jeanneth 4 Górka, Przemysław 4 Gough, John E. 4 Gushchin, Anatoliĭ Konstantinovich 4 Inoue, Kei 4 Khachatryan, Khachatur Aghavardovich 4 Khramtsov, Mikhail A. 4 Kosyak, Alexandre V. ...and 888 more Authors all top 5 Cited in 234 Serials 152 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 110 Theoretical and Mathematical Physics 56 Journal of Mathematical Physics 54 Proceedings of the Steklov Institute of Mathematics 29 Journal of Mathematical Analysis and Applications 28 General Relativity and Gravitation 26 Infinite Dimensional Analysis, Quantum Probability and Related Topics 24 Journal of Mathematical Sciences (New York) 24 Journal of High Energy Physics 23 Doklady Mathematics 21 Communications in Mathematical Physics 21 Nuclear Physics. 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Armenian Academy of Sciences 2 Stochastic Processes and their Applications 2 Expositiones Mathematicae 2 Vestnik St. Petersburg University. Mathematics 2 Advances in Applied Clifford Algebras 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Mathematics and Mechanics of Solids 2 Discrete Dynamics in Nature and Society 2 Annales Henri Poincaré 2 Differential Equations 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 International Journal of Quantum Information 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Frontiers of Mathematics in China 2 Journal of Mathematical Inequalities ...and 134 more Serials all top 5 Cited in 59 Fields 461 Quantum theory (81-XX) 202 Functional analysis (46-XX) 200 Number theory (11-XX) 194 Relativity and gravitational theory (83-XX) 157 Partial differential equations (35-XX) 151 Operator theory (47-XX) 146 Probability theory and stochastic processes (60-XX) 134 Statistical mechanics, structure of matter (82-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 98 Differential geometry (53-XX) 80 Dynamical systems and ergodic theory (37-XX) 52 Global analysis, analysis on manifolds (58-XX) 46 Real functions (26-XX) 38 Combinatorics (05-XX) 38 Biology and other natural sciences (92-XX) 32 Nonassociative rings and algebras (17-XX) 31 Field theory and polynomials (12-XX) 30 Topological groups, Lie groups (22-XX) 30 Information and communication theory, circuits (94-XX) 28 Abstract harmonic analysis (43-XX) 27 Mechanics of particles and systems (70-XX) 24 Computer science (68-XX) 23 Algebraic geometry (14-XX) 20 Functions of a complex variable (30-XX) 19 Difference and functional equations (39-XX) 18 Measure and integration (28-XX) 17 Statistics (62-XX) 16 Ordinary differential equations (34-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 13 Numerical analysis (65-XX) 13 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 Mathematical logic and foundations (03-XX) 12 Fluid mechanics (76-XX) 12 Astronomy and astrophysics (85-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Several complex variables and analytic spaces (32-XX) 10 General topology (54-XX) 9 Group theory and generalizations (20-XX) 8 Associative rings and algebras (16-XX) 8 Sequences, series, summability (40-XX) 8 Integral equations (45-XX) 7 Special functions (33-XX) 7 Manifolds and cell complexes (57-XX) 6 History and biography (01-XX) 6 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 6 Systems theory; control (93-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Integral transforms, operational calculus (44-XX) 3 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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