## Sakbaev, Vsevolod Zhanovich

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 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
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### 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
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### 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
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### 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)

### 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 1304.81082
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2014
Unbounded random operators and Feynman formulae. Zbl 1422.47049
Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G.
2016
Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023
Sakbaev, V. Zh.
2017
Stochastic properties of degenerated quantum systems. Zbl 1191.35221
Sakbaev, Vsevolod Zh.
2010
Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180
Sakbaev, V. Zh.
2008
On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016
Sakbaev, V. Zh.
2016
Averaging of quantum dynamical semigroups. Zbl 1263.47055
Sakbaev, V. Zh.
2010
Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2012
Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081
Efremova, L. S.; Sakbaev, V. Zh.
2015
The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078
Sakbaev, V. Zh.
2011
Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086
Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N.
2014
Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258
Sakbaev, V. Zh.
2013
The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058
Vlasov, V. V.; Sakbaev, V. Zh.
2001
Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029
Sakbaev, V. Zh.
2006
Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027
Sakbaev, V. Zh.
2019
On quantum dynamics on $$C^\ast$$-algebras. Zbl 1400.81105
Volovich, I. V.; Sakbaev, V. Zh.
2018
Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443
Sakbaev, V. Zh.
2004
Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2019
Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338
Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh.
2018
Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214
Sakbaev, V. Zh.
2016
Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606
Sakbaev, V. Zh.; Volovich, I. V.
2017
Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683
Volovich, I. V.; Sakbaev, V. Zh.
2014
Randomized Hamiltonian mechanics. Zbl 1428.81080
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2019
On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060
Sakbaev, V. Zh.
2012
Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065
Sakbaev, V. Zh.; Smolyanov, O. G.
2012
Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031
Sakbaev, V. Zh.
2008
On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417
Sakbaev, V. Zh.
2008
Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070
Vlasov, V. V.; Sakbaev, V. Zh.
2000
Diffusion and quantum dynamics on graphs. Zbl 1283.47050
Sakbaev, V. Zh.; Smolyanov, O. G.
2013
Feynman formulas for nonlinear evolution equations. Zbl 1458.46030
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2017
On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042
Amosov, G. G.; Sakbaev, V. Zh.
2004
Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815
Zavadsky, D. V.; Sakbaev, V. Zh.
2019
On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031
Sakbaev, V. Zh.
2004
Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143
Korobenko, L. V.; Sakbaev, V. Zh.
2009
Operator random walks and quantum oscillator. Zbl 1450.81041
Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V.
2020
Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093
Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G.
2020
Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057
Amosov, G. G.; Sakbaev, V. Zh.
2016
On a nonlinear ordinary differential equation. Zbl 0828.34017
Zhidkov, P. E.; Sakbaev, V. Zh.
1994
On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429
Sakbaev, V. Zh.
2008
Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029
Zhidkov, P. E.; Sakbaev, V. Zh.
1995
On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349
Sakbaev, V. Zh.
2002
Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045
Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh.
2020
Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360
Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh.
2019
Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036
Sakbaev, V. Zh.; Tsoy, N. V.
2020
Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173
Yaakbarieh, A.; Sakbaev, V. Zh.
2015
Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066
Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G.
2012
On analogs of spectral decomposition of a quantum state. Zbl 1269.81008
Amosov, G. G.; Sakbaev, V. Zh.
2013
Operator random walks and quantum oscillator. Zbl 1450.81041
Orlov, Yu. N.; Sakbaev, V. Zh.; Zavadsky, D. V.
2020
Stochastic processes on the group of orthogonal matrices and evolution equations describing them. Zbl 1466.60093
Zamana, K. Yu.; Sakbaev, V. Zh.; Smolyanov, O. G.
2020
Sobolev spaces of functions on a Hilbert space endowed with a translation-invariant measure and approximations of semigroups. Zbl 1461.46045
Busovikov, Vladimir M.; Sakbaev, Vsevolod Zh.
2020
Analogue of Chernoff theorem for cylindrical pseudomeasures. Zbl 1469.46036
Sakbaev, V. Zh.; Tsoy, N. V.
2020
Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations. Zbl 1426.28027
Sakbaev, V. Zh.
2019
Feynman formulas and the law of large numbers for random one-parameter semigroups. Zbl 1447.81026
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2019
Randomized Hamiltonian mechanics. Zbl 1428.81080
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2019
Diffusion on a Hilbert space equipped with a shift- and rotation-invariant measure. Zbl 07174815
Zavadsky, D. V.; Sakbaev, V. Zh.
2019
Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states. Zbl 1433.35360
Efremova, L. S.; Grekhneva, A. D.; Sakbaev, V. Zh.
2019
On quantum dynamics on $$C^\ast$$-algebras. Zbl 1400.81105
Volovich, I. V.; Sakbaev, V. Zh.
2018
Feynman averaging of semigroups generated by Schrödinger operators. Zbl 1391.35338
Borisov, Leonid A.; Orlov, Yuriy N.; Sakbaev, Vsevolod Zh.
2018
Averaging of random walks and shift-invariant measures on a Hilbert space. Zbl 1376.81023
Sakbaev, V. Zh.
2017
Self-adjoint approximations of the degenerate Schrödinger operator. Zbl 06725606
Sakbaev, V. Zh.; Volovich, I. V.
2017
Feynman formulas for nonlinear evolution equations. Zbl 1458.46030
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2017
Unbounded random operators and Feynman formulae. Zbl 1422.47049
Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G.
2016
On the law of large numbers for compositions of independent random semigroups. Zbl 1459.47016
Sakbaev, V. Zh.
2016
Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations. Zbl 1348.35214
Sakbaev, V. Zh.
2016
Geometric properties of systems of vector states and expansion of states in Pettis integrals. Zbl 1358.46057
Amosov, G. G.; Sakbaev, V. Zh.
2016
Notion of blowup of the solution set of differential equations and averaging of random semigroups. Zbl 1336.35081
Efremova, L. S.; Sakbaev, V. Zh.
2015
Well-posed initial problem for parabolic differential-difference equations with shifts of time argument. Zbl 1357.35173
Yaakbarieh, A.; Sakbaev, V. Zh.
2015
Feynman formulas as a method of averaging random Hamiltonians. Zbl 1304.81082
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2014
Non-Gaussian Lagrangian Feynman-Kac formulas. Zbl 1304.81086
Sakbaev, V. Z.; Smolyanov, O. G.; Shamarov, N. N.
2014
Universal boundary value problem for equations of mathematical physics. Zbl 1304.35683
Volovich, I. V.; Sakbaev, V. Zh.
2014
Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation. Zbl 1291.35258
Sakbaev, V. Zh.
2013
Diffusion and quantum dynamics on graphs. Zbl 1283.47050
Sakbaev, V. Zh.; Smolyanov, O. G.
2013
On analogs of spectral decomposition of a quantum state. Zbl 1269.81008
Amosov, G. G.; Sakbaev, V. Zh.
2013
Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. Zbl 1280.81046
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G.
2012
On the variational description of the trajectories of averaging quantum dynamical maps. Zbl 1251.81060
Sakbaev, V. Zh.
2012
Diffusion and quantum dynamics of particles with position-dependent mass. Zbl 1276.82065
Sakbaev, V. Zh.; Smolyanov, O. G.
2012
Linear and nonlinear liftings of states of quantum systems. Zbl 1264.81066
Amosov, G. G.; Sakbaev, V. Zh.; Smolyanov, O. G.
2012
The set of quantum states and its averaged dynamic transformations. Zbl 1229.81078
Sakbaev, V. Zh.
2011
Stochastic properties of degenerated quantum systems. Zbl 1191.35221
Sakbaev, Vsevolod Zh.
2010
Averaging of quantum dynamical semigroups. Zbl 1263.47055
Sakbaev, V. Zh.
2010
Formulation and well-posedness of the Cauchy problem for a diffusion equation with discontinuous degenerate coefficients. Zbl 1197.35143
Korobenko, L. V.; Sakbaev, V. Zh.
2009
Spectral aspects of regularization of the Cauchy problem for a degenerate equation. Zbl 1235.35180
Sakbaev, V. Zh.
2008
Approximation and variational methods for regularization of ill-posed problems. Zbl 1147.49031
Sakbaev, V. Zh.
2008
On dynamics of quantum states generated by the Cauchy problem for the Schrödinger equation with degeneration on the half-line. Zbl 1151.35417
Sakbaev, V. Zh.
2008
On the Cauchy problem for the Schrödinger equation degenerating outside a segment: properties of solutions and spectral aspects of the regularization. Zbl 1159.35429
Sakbaev, V. Zh.
2008
Set-valued mappings specified by regularization of the Schrödinger equation with degeneration. Zbl 1210.81029
Sakbaev, V. Zh.
2006
Functionals on solutions of the Cauchy problem for the Schrödinger equation with degeneration on a half-line. Zbl 1136.35443
Sakbaev, V. Zh.
2004
On selfadjoint extensions of the Schrödinger operator with degeneration on a pair of half-lines and the corresponding Markov cocycles. Zbl 1085.81042
Amosov, G. G.; Sakbaev, V. Zh.
2004
On the Cauchy problem for the Schrödinger equation with generator of variable type. Zbl 1079.35031
Sakbaev, V. Zh.
2004
On the formulation of the Cauchy problem for the Schrödinger equation that degenerates on a half-space. Zbl 1116.35349
Sakbaev, V. Zh.
2002
The correct solvability of some differential-difference equations in the scale of Sobolev spaces. Zbl 1257.34058
Vlasov, V. V.; Sakbaev, V. Zh.
2001
Well-defined solvability of some differential-difference equations in Sobolev spaces. Zbl 1004.34070
Vlasov, V. V.; Sakbaev, V. Zh.
2000
Existence of a countable set of solutions for a nonlinear boundary value problem. Zbl 0853.34029
Zhidkov, P. E.; Sakbaev, V. Zh.
1995
On a nonlinear ordinary differential equation. Zbl 0828.34017
Zhidkov, P. E.; Sakbaev, V. Zh.
1994
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### 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
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### 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
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### 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)