Edit Profile (opens in new tab) Sakbaev, Vsevolod Zhanovich Compute Distance To: Compute Author ID: sakbaev.vsevolod-zh Published as: Sakbaev, V. Zh.; Sakbaev, Vsevolod Zh.; Sakbaev, Vsevolod Zhanovich; Sakbaev, V. Z.; Sakbaev, V. Further Spellings: Сакбаев Всеволод Жанович External Links: ResearchGate · Math-Net.Ru Documents Indexed: 70 Publications since 1994 Co-Authors: 21 Co-Authors with 45 Joint Publications 293 Co-Co-Authors all top 5 Co-Authors 25 single-authored 15 Smolyanov, Oleg Georgievich 12 Orlov, Yurii N. 4 Amosov, Grigoriĭ Gennad’evich 4 Zavadsky, D. V. 3 Busovikov, Vladimir M. 3 Vlasov, Viktor Valentinovich 3 Volovich, Igor’ Vasil’evich 3 Zhidkov, Peter E. 2 Efremova, Lyudmila S. 2 Grekhneva, A. D. 2 Yaakbarieh, A. 1 Akbari Fallahi, A. 1 Bikchentaev, Aĭrat Midkhatovich 1 Borisov, Leonid Andreevich 1 Gough, John E. 1 Kalmetev, R. Sh. 1 Korobenko, L. V. 1 Shamarov, Nikolaĭ Nikolaevich 1 Shmidt, E. V. 1 Tsoy, N. V. 1 Zamana, Konstantin Yur’evich all top 5 Serials 9 Journal of Mathematical Sciences (New York) 9 Proceedings of the Steklov Institute of Mathematics 8 Doklady Mathematics 6 Lobachevskii Journal of Mathematics 5 Mathematical Notes 4 Theoretical and Mathematical Physics 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Russian Mathematics 4 Differential Equations 3 International Journal of Theoretical Physics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Computational Mathematics and Mathematical Physics 2 Izvestiya: Mathematics 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Differential Equations 1 Journal of Physics A: Mathematical and General 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki all top 5 Fields 35 Operator theory (47-XX) 31 Quantum theory (81-XX) 27 Partial differential equations (35-XX) 17 Functional analysis (46-XX) 9 Measure and integration (28-XX) 9 Probability theory and stochastic processes (60-XX) 8 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 47 Publications have been cited 254 times in 95 Documents Cited by ▼ Year ▼ Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 27 2014 Unbounded random operators and Feynman formulae. Zbl 1422.47049Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G. 26 2016 Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023Sakbaev, V. Zh. 18 2017 Stochastic properties of degenerated quantum systems. Zbl 1191.35221Sakbaev, Vsevolod Zh. 11 2010 Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180Sakbaev, V. Zh. 11 2008 On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016Sakbaev, V. Zh. 10 2016 Averaging of quantum dynamical semigroups. Zbl 1263.47055Sakbaev, V. Zh. 9 2010 Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 8 2012 Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081Efremova, L. S.; Sakbaev, V. Zh. 7 2015 The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078Sakbaev, V. Zh. 7 2011 Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N. 7 2014 Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258Sakbaev, V. Zh. 7 2013 The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058Vlasov, V. V.; Sakbaev, V. Zh. 6 2001 Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029Sakbaev, V. Zh. 6 2006 Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027Sakbaev, V. Zh. 6 2019 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105Volovich, I. V.; Sakbaev, V. Zh. 6 2018 Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443Sakbaev, V. Zh. 5 2004 Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 5 2019 Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh. 5 2018 Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214Sakbaev, V. Zh. 5 2016 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606Sakbaev, V. Zh.; Volovich, I. V. 5 2017 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Randomized Hamiltonian mechanics. Zbl 1428.81080Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2019 On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060Sakbaev, V. Zh. 4 2012 Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065Sakbaev, V. Zh.; Smolyanov, O. G. 4 2012 Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031Sakbaev, V. Zh. 3 2008 On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417Sakbaev, V. Zh. 3 2008 Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070Vlasov, V. V.; Sakbaev, V. Zh. 3 2000 Diffusion and quantum dynamics on graphs. Zbl 1283.47050Sakbaev, V. Zh.; Smolyanov, O. G. 3 2013 Feynman formulas for nonlinear evolution equations. Zbl 1458.46030Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 3 2017 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042Amosov, G. G.; Sakbaev, V. Zh. 2 2004 Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815Zavadsky, D. V.; Sakbaev, V. Zh. 2 2019 On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031Sakbaev, V. Zh. 2 2004 Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143Korobenko, L. V.; Sakbaev, V. Zh. 2 2009 Operator random walks and quantum oscillator. Zbl 1450.81041Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V. 2 2020 Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G. 2 2020 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057Amosov, G. G.; Sakbaev, V. Zh. 2 2016 On a nonlinear ordinary differential equation. Zbl 0828.34017Zhidkov, P. E.; Sakbaev, V. Zh. 2 1994 On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429Sakbaev, V. Zh. 1 2008 Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029Zhidkov, P. E.; Sakbaev, V. Zh. 1 1995 On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349Sakbaev, V. Zh. 1 2002 Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh. 1 2020 Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh. 1 2019 Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036Sakbaev, V. Zh.; Tsoy, N. V. 1 2020 Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173Yaakbarieh, A.; Sakbaev, V. Zh. 1 2015 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2012 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Operator random walks and quantum oscillator. Zbl 1450.81041Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V. 2 2020 Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G. 2 2020 Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh. 1 2020 Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036Sakbaev, V. Zh.; Tsoy, N. V. 1 2020 Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027Sakbaev, V. Zh. 6 2019 Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 5 2019 Randomized Hamiltonian mechanics. Zbl 1428.81080Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 4 2019 Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815Zavadsky, D. V.; Sakbaev, V. Zh. 2 2019 Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh. 1 2019 On quantum dynamics on \(C^\ast\)-algebras. Zbl 1400.81105Volovich, I. V.; Sakbaev, V. Zh. 6 2018 Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh. 5 2018 Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023Sakbaev, V. Zh. 18 2017 Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606Sakbaev, V. Zh.; Volovich, I. V. 5 2017 Feynman formulas for nonlinear evolution equations. Zbl 1458.46030Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 3 2017 Unbounded random operators and Feynman formulae. Zbl 1422.47049Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G. 26 2016 On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016Sakbaev, V. Zh. 10 2016 Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214Sakbaev, V. Zh. 5 2016 Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057Amosov, G. G.; Sakbaev, V. Zh. 2 2016 Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081Efremova, L. S.; Sakbaev, V. Zh. 7 2015 Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173Yaakbarieh, A.; Sakbaev, V. Zh. 1 2015 Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 27 2014 Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N. 7 2014 Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683Volovich, I. V.; Sakbaev, V. Zh. 5 2014 Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258Sakbaev, V. Zh. 7 2013 Diffusion and quantum dynamics on graphs. Zbl 1283.47050Sakbaev, V. Zh.; Smolyanov, O. G. 3 2013 On analogs of spectral decomposition of a quantum state. Zbl 1269.81008Amosov, G. G.; Sakbaev, V. Zh. 1 2013 Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. 8 2012 On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060Sakbaev, V. Zh. 4 2012 Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065Sakbaev, V. Zh.; Smolyanov, O. G. 4 2012 Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G. 1 2012 The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078Sakbaev, V. Zh. 7 2011 Stochastic properties of degenerated quantum systems. Zbl 1191.35221Sakbaev, Vsevolod Zh. 11 2010 Averaging of quantum dynamical semigroups. Zbl 1263.47055Sakbaev, V. Zh. 9 2010 Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143Korobenko, L. V.; Sakbaev, V. Zh. 2 2009 Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180Sakbaev, V. Zh. 11 2008 Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031Sakbaev, V. Zh. 3 2008 On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417Sakbaev, V. Zh. 3 2008 On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429Sakbaev, V. Zh. 1 2008 Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029Sakbaev, V. Zh. 6 2006 Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443Sakbaev, V. Zh. 5 2004 On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042Amosov, G. G.; Sakbaev, V. Zh. 2 2004 On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031Sakbaev, V. Zh. 2 2004 On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349Sakbaev, V. Zh. 1 2002 The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058Vlasov, V. V.; Sakbaev, V. Zh. 6 2001 Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070Vlasov, V. V.; Sakbaev, V. Zh. 3 2000 Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029Zhidkov, P. E.; Sakbaev, V. Zh. 1 1995 On a nonlinear ordinary differential equation. Zbl 0828.34017Zhidkov, P. E.; Sakbaev, V. Zh. 2 1994 all cited Publications top 5 cited Publications all top 5 Cited by 51 Authors 51 Sakbaev, Vsevolod Zhanovich 19 Smolyanov, Oleg Georgievich 18 Orlov, Yurii N. 9 Remizov, Ivan D. 6 Borisov, Leonid Andreevich 4 Kinderknecht, Yana A. 4 Zavadsky, D. V. 3 Amosov, Grigoriĭ Gennad’evich 3 Busovikov, Vladimir M. 3 Kislitsyn, A. A. 3 Shamarov, Nikolaĭ Nikolaevich 3 Volovich, Igor’ Vasil’evich 2 Efremova, Lyudmila S. 2 Grekhneva, A. D. 2 Muravnik, Andreĭ Borisovich 2 Sakbaev, V. G. 2 Vlasov, Viktor Valentinovich 2 Volkov, Boris O. 2 Yaakbarieh, A. 2 Zamana, Konstantin Yur’evich 2 Zhidkov, Peter E. 1 Ahmadov, H. I. 1 Akbari Fallahi, A. 1 Bezyaev, Vladimir Ivanovich 1 Bikchentaev, Aĭrat Midkhatovich 1 Chen, Linghua 1 Favini, Angelo 1 Galkin, Oleg Evgen’evich 1 Galkin, V. D. 1 Gough, John E. 1 Grishin, Denis V. 1 Grothaus, Martin 1 Jakobsen, Espen Robstad 1 Karaca, Bahriye 1 Karatetskaya, E. Yu. 1 Korsakova, M. B. 1 Kozlova, A. B. 1 Kravtseva, A. K. 1 Mammadov, Yusif A. 1 Medvedev, Dmitriy A. 1 Naess, Arvid 1 Pavlovskiy, Yan Yu. 1 Sadekov, N. Kh. 1 Sakbaev, V. J. 1 Shavgulidze, Eugene T. 1 Shmidt, E. V. 1 Tanaka, Satoshi 1 Tsoy, N. V. 1 Vedenin, A. V. 1 Voevodkin, V. S. 1 Yagi, Atsushi all top 5 Cited in 30 Serials 13 Journal of Mathematical Sciences (New York) 13 Doklady Mathematics 10 Proceedings of the Steklov Institute of Mathematics 9 Lobachevskii Journal of Mathematics 6 Theoretical and Mathematical Physics 4 Russian Mathematics 4 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 International Journal of Theoretical Physics 3 Mathematical Notes 3 Izvestiya: Mathematics 3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Journal of Mathematical Physics 2 Computational Mathematics and Mathematical Physics 2 Russian Journal of Mathematical Physics 2 Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Potential Analysis 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Fractional Calculus & Applied Analysis 1 Matematicheskoe Modelirovanie 1 Stochastics and Dynamics 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Ufimskiĭ Matematicheskiĭ Zhurnal all top 5 Cited in 20 Fields 47 Operator theory (47-XX) 44 Partial differential equations (35-XX) 37 Quantum theory (81-XX) 19 Functional analysis (46-XX) 15 Probability theory and stochastic processes (60-XX) 10 Measure and integration (28-XX) 7 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Approximations and expansions (41-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) Citations by Year