## Belopol’skaya, Yana Isaevna

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 Author ID: belopolskaya.yana-i Published as: Belopol’skaya, Ya. I.; Belopolskaya, Ya.; Belopolskaya, Ya. I.; Belopolskaya, Yana; Belopol’skaja, Ja. I.; Belopolskaya, Yana I.; Belopol’skaya, Yana I.; Belopol’skaya, Ya.; Belopolskaya, Y. External Links: MGP · ORCID · ResearchGate · Math-Net.Ru
 Documents Indexed: 101 Publications since 1973, including 2 Books Reviewing Activity: 76 Reviews Co-Authors: 24 Co-Authors with 48 Joint Publications 1,169 Co-Co-Authors
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### Co-Authors

 53 single-authored 13 Albeverio, Sergio A. 13 Dalets’kyĭ, Yuriĭ L’vovych 7 Feller, Mikhail Naumovich 4 Nagolkina, Z. I. 4 Woyczynski, Wojbor A. 2 Filimonova, S. R. 2 Gliklikh, Yuriĭ Evgen’evich 1 Arnaudon, Marc 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Bogdansky, Yu. V. 1 Daletskii, Alexei 1 Klebanov, Leo B. 1 Lyubashenko, Volodymyr V. 1 Milstein, Grigori N. 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Nemchenko, E. I. 1 Pang, Guodong 1 Paycha, Sylvie 1 Romadanova, M. M. 1 Sarantsev, Andrey 1 Stepanova, A. O. 1 Stepanova, Anastasija 1 Suhov, Yurii Mikhailovich 1 Volkovich, Vladimir E.
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### Serials

 19 Journal of Mathematical Sciences (New York) 6 Methods of Functional Analysis and Topology 4 Theory of Probability and its Applications 3 Mathematical Notes 3 Problemy Matematicheskogo Analiza 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 Journal of Soviet Mathematics 2 Theory of Probability and Mathematical Statistics 2 Doklady Mathematics 2 Markov Processes and Related Fields 2 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Russian Mathematical Surveys 1 Teoriya Veroyatnosteĭ i eë Primeneniya 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Soviet Mathematics. Doklady 1 Transactions of the Moscow Mathematical Society 1 Trudy Moskovskogo Matematicheskogo Obshchestva 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Queueing Systems 1 Leningrad Mathematical Journal 1 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 1 Vestnik St. Petersburg University. Mathematics 1 Potential Analysis 1 Zapiski Nauchnykh Seminarov POMI 1 Statistical Papers 1 European Mathematical Society Newsletter 1 Izvestiya. Rossiĭskaya Akademiya Estestvennykh Nauk. Matematika, Matematicheskoe Modelirovanie, Informatika i Upravlenie 1 Lobachevskii Journal of Mathematics 1 Stochastics and Dynamics 1 Cubo 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Mathematics and Its Applications. Soviet Series 1 Ukraïns’kyĭ Matematychnyĭ Visnyk 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Global and Stochastic Analysis
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### Fields

 69 Probability theory and stochastic processes (60-XX) 65 Partial differential equations (35-XX) 19 Global analysis, analysis on manifolds (58-XX) 11 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Numerical analysis (65-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 101 times in 64 Documents Cited by Year
Generalized solutions of nonlinear parabolic equations and diffusion processes. Zbl 1131.60053
Belopolskaya, Ya.; Woyczynski, W. A.
2007
Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417
Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N.
2010
Stochastic equations and differential geometry. Transl. from the Russian. Zbl 0696.60053
Belopolskaya, Ya. I.; Daletskij, Yu. L.
1990
Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065
Belopolskaya, Yana; Woyczynski, Wojbor A.
2012
An approximation method for Navier-Stokes equations based on probabilistic approach. Zbl 1116.76332
Belopolskaya, Ya.; Milstein, G. N.
2003
Probabilistic counterparts of nonlinear parabolic partial differential equation systems. Zbl 1325.60114
Belopolskaya, Yana I.
2014
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Zbl 1221.60076
Albeverio, S.; Belopolskaya, Ya.
2010
Forward-backward stochastic equations associated with systems of quasilinear parabolic equations and comparison theorems. Zbl 1359.60077
Belopolskaya, Ya. I.
2015
Stochastic interpretation of quasilinear parabolic systems with cross diffusion. Zbl 1372.35136
Belopolskaya, Yana I.
2017
Probabilistic approach to systems of nonlinear PDEs and vanishing viscosity method. Zbl 1180.35542
Albeverio, S.; Belopolskaya, Ya.
2006
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
2000
Stochastic processes on groups of diffeomorphisms and viscous hydrodynamics. Zbl 1056.58010
Belopolskaya, Ya. I.; Gliklikh, Yu. E.
2002
Probabilistic counterparts for strongly coupled parabolic systems. Zbl 1333.35356
Belopolskaya, Ya.
2014
Probabilistic models of the conservation and balance laws in switching regimes. Zbl 06864344
Belopolskaya, Ya. I.
2018
Burgers equation on a Hilbert manifold and the motion of incompressible fluid. Zbl 0955.60070
Belopol’skaya, Ya. I.
1999
On stochastic equations with unbounded coefficients for jump processes. Zbl 0467.60061
Belopolskaya, Ya. I.
1980
Stochastic interpretation of the MHD-Burgers system. Zbl 1448.35385
Belopolskaya, Ya. I.; Stepanova, A. O.
2020
Probabilistic approaches to nonlinear parabolic equations in jet-bundles. Zbl 1296.35223
Belopolskaya, Ya.
2011
Probabilistic models of the dynamics of the growth of cells under contact inhibition. Zbl 1398.35303
Belopol’skaya, Yana I.
2017
Markov processes associated with fully nondiagonal systems of parabolic equations. Zbl 1307.60097
Belopolskaya, Y.
2014
On a class of stochastic equations with partial derivatives. Zbl 0499.60060
Belopol’skaya, Ya. I.; Nagolkina, Z. I.
1982
A probabilistic approach to a solution of nonlinear parabolic equations. Zbl 1092.60039
Belopolskaya, Ya. I.
2005
Probabilistic approach to hydrodynamic equations. Zbl 1066.76019
Albeverio, S.; Belopolskaya, Ya.
2003
Probabilistic model for the Lotka-Volterra system with cross-diffusion. Zbl 1381.60101
Belopolskaya, Yana I.
2016
Stochastic processes in $$\mathbb Q_p$$ associated with systems of nonlinear PIDEs. Zbl 1187.60068
Albeverio, Sergio; Belopolskaya, Yana
2009
Characterization of elliptic distributions. Zbl 1120.62034
Belopol’skaya, Ya. I.; Vol’kovich, V. E.; Klebanov, L. B.
2002
Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070
Belopolskaya, Ya. I.; Woyczynski, W. A.
2013
Probabilistic interpretations of quasilinear parabolic systems. Zbl 1450.60041
Belopolskaya, Yana
2019
Probabilistic interpretation of the VV-method for PDE systems. Zbl 1209.35059
Albeverio, S.; Belopolskaya, Ya.
2006
Time reversal of diffusion processes in Hilbert spaces and manifolds. Zbl 1022.58016
Belopolskaya, Ya.
2001
Ito equations and differential geometry. Zbl 0508.60055
Belopol’skaya, Ya. I.; Daletskij, Yu. L.
1982
Cauchy problem for a nonlinear parabolic system via operator-valued multiplicative functionals of Markov random processes. Zbl 0509.35046
Belopol’skaya, Ya. I.; Daletskij, Yu. L.
1983
Markov processes connected with nonlinear parabolic systems. Zbl 0456.35045
Belopol’skaya, Ya. I.; Daletskij, Yu. L.
1980
$$Q_p$$-valued jump processes associated with linear and nonlinear pseudo-differential equations. Zbl 1288.60070
Albeverio, S.; Belopolskaya, Ya.
2008
Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics. Zbl 1288.35492
Belopolskaya, Ya.
2010
Ito equations and differential geometry. Zbl 0499.60067
Belopol’skaya, Ya. I.; Daletskij, Yu. L.
1982
The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. Zbl 1091.35110
Albeverio, S.; Belopolskaya, Ya.; Feller, M.
2006
Lévy-Dirichlet forms. II. Zbl 1118.35056
Albeverio, S.; Belopolskaya, Ya.; Feller, M.
2006
Generalized solutions of systems of nonlinear parabolic equations and the vanishing viscosity method. Zbl 1083.35043
Belopol’skaya, Ya. I.
2004
The Cauchy problem for the wave equation with Lévy Laplacian. Zbl 1275.35134
Albeverio, S. A.; Belopol’skaya, Ya. I.; Feller, M. N.
2010
Stochastic models for forward systems of nonlinear parabolic equations. Zbl 1408.60056
Belopolskaya, Yana
2018
Stationary distributions and convergence for $$M/M/1$$ queues in interactive random environment. Zbl 1439.60088
Pang, Guodong; Sarantsev, Andrey; Belopolskaya, Yana; Suhov, Yuri
2020
Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws. Zbl 1468.35010
Belopol’skaya, Ya. I.
2021
Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws. Zbl 1468.35010
Belopol&rsquo;skaya, Ya. I.
2021
Stochastic interpretation of the MHD-Burgers system. Zbl 1448.35385
Belopolskaya, Ya. I.; Stepanova, A. O.
2020
Stationary distributions and convergence for $$M/M/1$$ queues in interactive random environment. Zbl 1439.60088
Pang, Guodong; Sarantsev, Andrey; Belopolskaya, Yana; Suhov, Yuri
2020
Probabilistic interpretations of quasilinear parabolic systems. Zbl 1450.60041
Belopolskaya, Yana
2019
Probabilistic models of the conservation and balance laws in switching regimes. Zbl 06864344
Belopolskaya, Ya. I.
2018
Stochastic models for forward systems of nonlinear parabolic equations. Zbl 1408.60056
Belopolskaya, Yana
2018
Stochastic interpretation of quasilinear parabolic systems with cross diffusion. Zbl 1372.35136
Belopolskaya, Yana I.
2017
Probabilistic models of the dynamics of the growth of cells under contact inhibition. Zbl 1398.35303
Belopol&rsquo;skaya, Yana I.
2017
Probabilistic model for the Lotka-Volterra system with cross-diffusion. Zbl 1381.60101
Belopolskaya, Yana I.
2016
Forward-backward stochastic equations associated with systems of quasilinear parabolic equations and comparison theorems. Zbl 1359.60077
Belopolskaya, Ya. I.
2015
Probabilistic counterparts of nonlinear parabolic partial differential equation systems. Zbl 1325.60114
Belopolskaya, Yana I.
2014
Probabilistic counterparts for strongly coupled parabolic systems. Zbl 1333.35356
Belopolskaya, Ya.
2014
Markov processes associated with fully nondiagonal systems of parabolic equations. Zbl 1307.60097
Belopolskaya, Y.
2014
Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070
Belopolskaya, Ya. I.; Woyczynski, W. A.
2013
Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065
Belopolskaya, Yana; Woyczynski, Wojbor A.
2012
Probabilistic approaches to nonlinear parabolic equations in jet-bundles. Zbl 1296.35223
Belopolskaya, Ya.
2011
Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417
Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N.
2010
Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Zbl 1221.60076
Albeverio, S.; Belopolskaya, Ya.
2010
Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics. Zbl 1288.35492
Belopolskaya, Ya.
2010
The Cauchy problem for the wave equation with Lévy Laplacian. Zbl 1275.35134
Albeverio, S. A.; Belopol&rsquo;skaya, Ya. I.; Feller, M. N.
2010
Stochastic processes in $$\mathbb Q_p$$ associated with systems of nonlinear PIDEs. Zbl 1187.60068
Albeverio, Sergio; Belopolskaya, Yana
2009
$$Q_p$$-valued jump processes associated with linear and nonlinear pseudo-differential equations. Zbl 1288.60070
Albeverio, S.; Belopolskaya, Ya.
2008
Generalized solutions of nonlinear parabolic equations and diffusion processes. Zbl 1131.60053
Belopolskaya, Ya.; Woyczynski, W. A.
2007
Probabilistic approach to systems of nonlinear PDEs and vanishing viscosity method. Zbl 1180.35542
Albeverio, S.; Belopolskaya, Ya.
2006
Probabilistic interpretation of the VV-method for PDE systems. Zbl 1209.35059
Albeverio, S.; Belopolskaya, Ya.
2006
The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. Zbl 1091.35110
Albeverio, S.; Belopolskaya, Ya.; Feller, M.
2006
Lévy-Dirichlet forms. II. Zbl 1118.35056
Albeverio, S.; Belopolskaya, Ya.; Feller, M.
2006
A probabilistic approach to a solution of nonlinear parabolic equations. Zbl 1092.60039
Belopolskaya, Ya. I.
2005
Generalized solutions of systems of nonlinear parabolic equations and the vanishing viscosity method. Zbl 1083.35043
Belopol&rsquo;skaya, Ya. I.
2004
An approximation method for Navier-Stokes equations based on probabilistic approach. Zbl 1116.76332
Belopolskaya, Ya.; Milstein, G. N.
2003
Probabilistic approach to hydrodynamic equations. Zbl 1066.76019
Albeverio, S.; Belopolskaya, Ya.
2003
Stochastic processes on groups of diffeomorphisms and viscous hydrodynamics. Zbl 1056.58010
Belopolskaya, Ya. I.; Gliklikh, Yu. E.
2002
Characterization of elliptic distributions. Zbl 1120.62034
Belopol&rsquo;skaya, Ya. I.; Vol&rsquo;kovich, V. E.; Klebanov, L. B.
2002
Time reversal of diffusion processes in Hilbert spaces and manifolds. Zbl 1022.58016
Belopolskaya, Ya.
2001
Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019
Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie
2000
Burgers equation on a Hilbert manifold and the motion of incompressible fluid. Zbl 0955.60070
Belopol&rsquo;skaya, Ya. I.
1999
Stochastic equations and differential geometry. Transl. from the Russian. Zbl 0696.60053
Belopolskaya, Ya. I.; Daletskij, Yu. L.
1990
Cauchy problem for a nonlinear parabolic system via operator-valued multiplicative functionals of Markov random processes. Zbl 0509.35046
Belopol&rsquo;skaya, Ya. I.; Daletskij, Yu. L.
1983
On a class of stochastic equations with partial derivatives. Zbl 0499.60060
Belopol&rsquo;skaya, Ya. I.; Nagolkina, Z. I.
1982
Ito equations and differential geometry. Zbl 0508.60055
Belopol&rsquo;skaya, Ya. I.; Daletskij, Yu. L.
1982
Ito equations and differential geometry. Zbl 0499.60067
Belopol&rsquo;skaya, Ya. I.; Daletskij, Yu. L.
1982
On stochastic equations with unbounded coefficients for jump processes. Zbl 0467.60061
Belopolskaya, Ya. I.
1980
Markov processes connected with nonlinear parabolic systems. Zbl 0456.35045
Belopol&rsquo;skaya, Ya. I.; Daletskij, Yu. L.
1980
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### Cited by 70 Authors

 21 Belopol’skaya, Yana Isaevna 4 Albeverio, Sergio A. 4 Feller, Mikhail Naumovich 4 Milstein, Grigori N. 3 Jørgensen, Palle E. T. 3 Léandre, Rémi 3 Paycha, Sylvie 3 Tretyakov, Michael V. 2 Barzily, Zeev 2 Dragovich, Branko 2 Khrennikov, Andreĭ Yur’evich 2 Kozyrev, Sergeĭ Vladimirovich 2 Volkovich, Vladimir E. 2 Volovich, Igor’ Vasil’evich 2 Woyczynski, Wojbor A. 1 Avros, Renata 1 Bonaventura, Luca 1 Borodin, Andreĭ Nikolaevich 1 Cardona, Alexander 1 Chen, Li 1 Cruzeiro, Ana-Bela 1 Darses, Sébastien 1 Daus, Esther S. 1 Delbaen, Freddy 1 Drivas, Theodore Dimitrios 1 Ducourtioux, Catherine 1 Eyink, Gregory L. 1 Ferretti, Roberto Giorgio 1 Gaeta, Giuseppe 1 Gliklikh, Yuriĭ Evgen’evich 1 Goncharuk, Nataliya Yu. 1 Gordeeva, N. M. 1 Hochgerner, Simon 1 Høegh-Krohn, Raphael J. 1 Holden, Helge 1 Ji, Un Cig 1 Jüngel, Ansgar 1 Kolokoltsov, Vassili N. 1 Korshunova, Anastasia 1 Kotelenez, Peter M. 1 Kovtun, Iryna I. 1 Lépinette-Denis, Emmanuel 1 Magnot, Jean-Pierre 1 Manita, Oxana A. 1 Morozensky, L. 1 Nemchenko, E. I. 1 Obata, Nobuaki 1 Ouerdiane, Habib 1 Pearse, Erin Peter James 1 Qiu, Jinniao 1 Rocchi, Lorenzo 1 Rozanova, Olga S. 1 Rozkosz, Andrzej 1 Sarantsev, Andrey 1 Shamarova, Èvelina Yur’evna 1 Shaposhnikov, Stanislav V. 1 Sidnyaev, N. I. 1 Stepanova, A. O. 1 Storchak, S. N. 1 Tang, Shanjian 1 Toledano-Kitai, Dvora 1 Torba, Sergii M. 1 Troeva, Marianna S. 1 van Neerven, Jan M. A. M. 1 Veraar, Mark C. 1 Vinokurova, Natalia V. 1 Weber, Gerhard-Wilhelm 1 Weis, Lutz W. 1 Zelenov, Evgenii I. 1 Zúñiga-Galindo, Wilson A.
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### Cited in 38 Serials

 12 Journal of Mathematical Sciences (New York) 5 Mathematical Notes 3 Stochastic Processes and their Applications 3 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 2 Ukrainian Mathematical Journal 2 Journal of Functional Analysis 2 Statistics & Probability Letters 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of Applied Mathematics and Computing 1 Advances in Applied Probability 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Physics Letters. A 1 Physics Reports 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Theory of Probability and its Applications 1 The Annals of Probability 1 Applied Mathematics and Computation 1 BIT 1 Journal of Computational and Applied Mathematics 1 Stochastic Analysis and Applications 1 Journal of Theoretical Probability 1 Machine Learning 1 Communications in Statistics. Theory and Methods 1 Pattern Recognition 1 Journal of Nonlinear Science 1 Statistical Papers 1 St. Petersburg Mathematical Journal 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Lobachevskii Journal of Mathematics 1 Stochastics and Dynamics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Dynamic Games and Applications
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### Cited in 25 Fields

 38 Probability theory and stochastic processes (60-XX) 36 Partial differential equations (35-XX) 12 Fluid mechanics (76-XX) 9 Numerical analysis (65-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)