Edit Profile (opens in new tab) Belopol’skaya, Yana Isaevna Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1131.60053Belopolskaya, Ya.; Woyczynski, W. A. 8 2007 Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N. 6 2010 Stochastic equations and differential geometry. Transl. from the Russian. Zbl 0696.60053Belopolskaya, Ya. I.; Daletskij, Yu. L. 6 1990 Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065Belopolskaya, Yana; Woyczynski, Wojbor A. 6 2012 An approximation method for Navier-Stokes equations based on probabilistic approach. Zbl 1116.76332Belopolskaya, Ya.; Milstein, G. N. 4 2003 Probabilistic counterparts of nonlinear parabolic partial differential equation systems. Zbl 1325.60114Belopolskaya, Yana I. 4 2014 Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Zbl 1221.60076Albeverio, S.; Belopolskaya, Ya. 4 2010 Forward-backward stochastic equations associated with systems of quasilinear parabolic equations and comparison theorems. Zbl 1359.60077Belopolskaya, Ya. I. 3 2015 Stochastic interpretation of quasilinear parabolic systems with cross diffusion. Zbl 1372.35136Belopolskaya, Yana I. 3 2017 Probabilistic approach to systems of nonlinear PDEs and vanishing viscosity method. Zbl 1180.35542Albeverio, S.; Belopolskaya, Ya. 3 2006 Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie 3 2000 Stochastic processes on groups of diffeomorphisms and viscous hydrodynamics. Zbl 1056.58010Belopolskaya, Ya. I.; Gliklikh, Yu. E. 3 2002 Probabilistic counterparts for strongly coupled parabolic systems. Zbl 1333.35356Belopolskaya, Ya. 3 2014 Probabilistic models of the conservation and balance laws in switching regimes. Zbl 06864344Belopolskaya, Ya. I. 2 2018 Burgers equation on a Hilbert manifold and the motion of incompressible fluid. Zbl 0955.60070Belopol’skaya, Ya. I. 2 1999 On stochastic equations with unbounded coefficients for jump processes. Zbl 0467.60061Belopolskaya, Ya. I. 2 1980 Stochastic interpretation of the MHD-Burgers system. Zbl 1448.35385Belopolskaya, Ya. I.; Stepanova, A. O. 2 2020 Probabilistic approaches to nonlinear parabolic equations in jet-bundles. Zbl 1296.35223Belopolskaya, Ya. 2 2011 Probabilistic models of the dynamics of the growth of cells under contact inhibition. Zbl 1398.35303Belopol’skaya, Yana I. 2 2017 Markov processes associated with fully nondiagonal systems of parabolic equations. Zbl 1307.60097Belopolskaya, Y. 2 2014 On a class of stochastic equations with partial derivatives. Zbl 0499.60060Belopol’skaya, Ya. I.; Nagolkina, Z. I. 2 1982 A probabilistic approach to a solution of nonlinear parabolic equations. Zbl 1092.60039Belopolskaya, Ya. I. 2 2005 Probabilistic approach to hydrodynamic equations. Zbl 1066.76019Albeverio, S.; Belopolskaya, Ya. 2 2003 Probabilistic model for the Lotka-Volterra system with cross-diffusion. Zbl 1381.60101Belopolskaya, Yana I. 2 2016 Stochastic processes in \(\mathbb Q_p\) associated with systems of nonlinear PIDEs. Zbl 1187.60068Albeverio, Sergio; Belopolskaya, Yana 2 2009 Characterization of elliptic distributions. Zbl 1120.62034Belopol’skaya, Ya. I.; Vol’kovich, V. E.; Klebanov, L. B. 2 2002 Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070Belopolskaya, Ya. I.; Woyczynski, W. A. 2 2013 Probabilistic interpretations of quasilinear parabolic systems. Zbl 1450.60041Belopolskaya, Yana 2 2019 Probabilistic interpretation of the VV-method for PDE systems. Zbl 1209.35059Albeverio, S.; Belopolskaya, Ya. 1 2006 Time reversal of diffusion processes in Hilbert spaces and manifolds. Zbl 1022.58016Belopolskaya, Ya. 1 2001 Ito equations and differential geometry. Zbl 0508.60055Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1982 Cauchy problem for a nonlinear parabolic system via operator-valued multiplicative functionals of Markov random processes. Zbl 0509.35046Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1983 Markov processes connected with nonlinear parabolic systems. Zbl 0456.35045Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1980 \(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations. Zbl 1288.60070Albeverio, S.; Belopolskaya, Ya. 1 2008 Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics. Zbl 1288.35492Belopolskaya, Ya. 1 2010 Ito equations and differential geometry. Zbl 0499.60067Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1982 The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. Zbl 1091.35110Albeverio, S.; Belopolskaya, Ya.; Feller, M. 1 2006 Lévy-Dirichlet forms. II. Zbl 1118.35056Albeverio, S.; Belopolskaya, Ya.; Feller, M. 1 2006 Generalized solutions of systems of nonlinear parabolic equations and the vanishing viscosity method. Zbl 1083.35043Belopol’skaya, Ya. I. 1 2004 The Cauchy problem for the wave equation with Lévy Laplacian. Zbl 1275.35134Albeverio, S. A.; Belopol’skaya, Ya. I.; Feller, M. N. 1 2010 Stochastic models for forward systems of nonlinear parabolic equations. Zbl 1408.60056Belopolskaya, Yana 1 2018 Stationary distributions and convergence for \(M/M/1\) queues in interactive random environment. Zbl 1439.60088Pang, Guodong; Sarantsev, Andrey; Belopolskaya, Yana; Suhov, Yuri 1 2020 Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws. Zbl 1468.35010Belopol’skaya, Ya. I. 1 2021 Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws. Zbl 1468.35010Belopol’skaya, Ya. I. 1 2021 Stochastic interpretation of the MHD-Burgers system. Zbl 1448.35385Belopolskaya, Ya. I.; Stepanova, A. O. 2 2020 Stationary distributions and convergence for \(M/M/1\) queues in interactive random environment. Zbl 1439.60088Pang, Guodong; Sarantsev, Andrey; Belopolskaya, Yana; Suhov, Yuri 1 2020 Probabilistic interpretations of quasilinear parabolic systems. Zbl 1450.60041Belopolskaya, Yana 2 2019 Probabilistic models of the conservation and balance laws in switching regimes. Zbl 06864344Belopolskaya, Ya. I. 2 2018 Stochastic models for forward systems of nonlinear parabolic equations. Zbl 1408.60056Belopolskaya, Yana 1 2018 Stochastic interpretation of quasilinear parabolic systems with cross diffusion. Zbl 1372.35136Belopolskaya, Yana I. 3 2017 Probabilistic models of the dynamics of the growth of cells under contact inhibition. Zbl 1398.35303Belopol’skaya, Yana I. 2 2017 Probabilistic model for the Lotka-Volterra system with cross-diffusion. Zbl 1381.60101Belopolskaya, Yana I. 2 2016 Forward-backward stochastic equations associated with systems of quasilinear parabolic equations and comparison theorems. Zbl 1359.60077Belopolskaya, Ya. I. 3 2015 Probabilistic counterparts of nonlinear parabolic partial differential equation systems. Zbl 1325.60114Belopolskaya, Yana I. 4 2014 Probabilistic counterparts for strongly coupled parabolic systems. Zbl 1333.35356Belopolskaya, Ya. 3 2014 Markov processes associated with fully nondiagonal systems of parabolic equations. Zbl 1307.60097Belopolskaya, Y. 2 2014 Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070Belopolskaya, Ya. I.; Woyczynski, W. A. 2 2013 Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065Belopolskaya, Yana; Woyczynski, Wojbor A. 6 2012 Probabilistic approaches to nonlinear parabolic equations in jet-bundles. Zbl 1296.35223Belopolskaya, Ya. 2 2011 Boundary problems for the wave equation with the Lévy Laplacian in Shilov’s class. Zbl 1224.35417Albeverio, S.; Belopolskaya, Ya. I.; Feller, M. N. 6 2010 Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes. Zbl 1221.60076Albeverio, S.; Belopolskaya, Ya. 4 2010 Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics. Zbl 1288.35492Belopolskaya, Ya. 1 2010 The Cauchy problem for the wave equation with Lévy Laplacian. Zbl 1275.35134Albeverio, S. A.; Belopol’skaya, Ya. I.; Feller, M. N. 1 2010 Stochastic processes in \(\mathbb Q_p\) associated with systems of nonlinear PIDEs. Zbl 1187.60068Albeverio, Sergio; Belopolskaya, Yana 2 2009 \(Q_p\)-valued jump processes associated with linear and nonlinear pseudo-differential equations. Zbl 1288.60070Albeverio, S.; Belopolskaya, Ya. 1 2008 Generalized solutions of nonlinear parabolic equations and diffusion processes. Zbl 1131.60053Belopolskaya, Ya.; Woyczynski, W. A. 8 2007 Probabilistic approach to systems of nonlinear PDEs and vanishing viscosity method. Zbl 1180.35542Albeverio, S.; Belopolskaya, Ya. 3 2006 Probabilistic interpretation of the VV-method for PDE systems. Zbl 1209.35059Albeverio, S.; Belopolskaya, Ya. 1 2006 The Cauchy problem for nonlinear parabolic equations with Lévy Laplacian. Zbl 1091.35110Albeverio, S.; Belopolskaya, Ya.; Feller, M. 1 2006 Lévy-Dirichlet forms. II. Zbl 1118.35056Albeverio, S.; Belopolskaya, Ya.; Feller, M. 1 2006 A probabilistic approach to a solution of nonlinear parabolic equations. Zbl 1092.60039Belopolskaya, Ya. I. 2 2005 Generalized solutions of systems of nonlinear parabolic equations and the vanishing viscosity method. Zbl 1083.35043Belopol’skaya, Ya. I. 1 2004 An approximation method for Navier-Stokes equations based on probabilistic approach. Zbl 1116.76332Belopolskaya, Ya.; Milstein, G. N. 4 2003 Probabilistic approach to hydrodynamic equations. Zbl 1066.76019Albeverio, S.; Belopolskaya, Ya. 2 2003 Stochastic processes on groups of diffeomorphisms and viscous hydrodynamics. Zbl 1056.58010Belopolskaya, Ya. I.; Gliklikh, Yu. E. 3 2002 Characterization of elliptic distributions. Zbl 1120.62034Belopol’skaya, Ya. I.; Vol’kovich, V. E.; Klebanov, L. B. 2 2002 Time reversal of diffusion processes in Hilbert spaces and manifolds. Zbl 1022.58016Belopolskaya, Ya. 1 2001 Renormalized Laplacians on a class of Hilbert manifolds and a Bochner-Weitzenböck type formula for current groups. Zbl 1032.58019Arnaudon, Marc; Belopolskaya, Yana; Paycha, Sylvie 3 2000 Burgers equation on a Hilbert manifold and the motion of incompressible fluid. Zbl 0955.60070Belopol’skaya, Ya. I. 2 1999 Stochastic equations and differential geometry. Transl. from the Russian. Zbl 0696.60053Belopolskaya, Ya. I.; Daletskij, Yu. L. 6 1990 Cauchy problem for a nonlinear parabolic system via operator-valued multiplicative functionals of Markov random processes. Zbl 0509.35046Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1983 On a class of stochastic equations with partial derivatives. Zbl 0499.60060Belopol’skaya, Ya. I.; Nagolkina, Z. I. 2 1982 Ito equations and differential geometry. Zbl 0508.60055Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1982 Ito equations and differential geometry. Zbl 0499.60067Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1982 On stochastic equations with unbounded coefficients for jump processes. Zbl 0467.60061Belopolskaya, Ya. I. 2 1980 Markov processes connected with nonlinear parabolic systems. Zbl 0456.35045Belopol’skaya, Ya. I.; Daletskij, Yu. L. 1 1980 all cited Publications top 5 cited Publications all top 5 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. all top 5 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 all top 5 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) Citations by Year