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Belopol'skaya, Yana Isaevna

Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 36
Presentations: 28

Number of views:
This page:5232
Abstract pages:10104
Full texts:4161
References:1254
Professor
Doctor of physico-mathematical sciences, Doctor of technical sciences (1990)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
Birth date: 5.09.1943
E-mail: , ,
Keywords: Stochastic differential equationб nonlinear parabolic equations and systems, initial-boundary value problems.

Subject:

Stochastic differential equation theory and applications to nonlinear parabolic equations and systems theory

   
Main publications:
  1. Ya. Belopolskaya, Modern Stochastics and Applications. Part II. Probabilistic counterparts of nonlinear parabolic PDE systems, Springer Optimization and Its Applications, 90, Springer, Berlin, 2014
  2. Ya. Belopolskaya, W. Woyczynski, “Generalized solution of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes”, Stochastics and dynamics, 11:1 (2012), 1–31
  3. Ya. Belopolskaya, “Probabilistic approach to solution of nonlinear PDES arising in financial mathematics”, Journal of Mathematical Sciences, 167:4 (2010), 444–460
  4. Belopolskaya Ya. I., “Pryamye-obratnye stokhasticheskie uravneniya, svyazannye s sistemami kvazilineinykh parabolicheskikh uravnenii i teoremy sravneniya”, Zapiski nauchn sem. POMI, 412 (2013), 15–46
  5. Ya. Belopolskaya, “Arbitrage-free option prices on global markets”, Journal of Mathematical Sciences, 159:3 (2009), 281–294

https://www.mathnet.ru/eng/person22911
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/206730

Publications in Math-Net.Ru Citations
2023
1. Ya. I. Belopolskaya, A. A. Chubatov, “Investment optimization in the Heston model”, Zap. Nauchn. Sem. POMI, 526 (2023),  29–51  mathnet
2022
2. Ya. I. Belopolskaya, “Stochastic model of the Cauchy–Robin problem for systems of nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 515 (2022),  39–71  mathnet
2021
3. Ya. I. Belopol'skaya, “Probabilistic Interpretation of the Vanishing Viscosity Method for Systems of Conservation and Balance Laws”, Mat. Zametki, 109:3 (2021),  338–351  mathnet; Math. Notes, 109:3 (2021), 347–357  isi 2
4. Ya. I. Belopol'skaya, “Systems of nonlinear backward and forward Kolmogorov equations: generalized solutions”, Teor. Veroyatnost. i Primenen., 66:1 (2021),  20–54  mathnet  mathscinet  zmath; Theory Probab. Appl., 66:1 (2021), 15–43  scopus 2
5. Ya. I. Belopolskaya, “Stochastic model of the Cauchy–Neumann problem for nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 505 (2021),  38–61  mathnet 1
2020
6. Ya. I. Belopolskaya, E. I. Nemchenko, “Chemotaxis stochastic model for two populations”, Zap. Nauchn. Sem. POMI, 495 (2020),  37–63  mathnet
2019
7. Ya. I. Belopolskaya, “Markov processes and magneto-hydrodynamic systems”, Zap. Nauchn. Sem. POMI, 486 (2019),  7–34  mathnet
2018
8. Ya. I. Belopolskaya, “Stochastic models of chemotaxis processes”, Zap. Nauchn. Sem. POMI, 474 (2018),  7–27  mathnet 1
2017
9. Ya. I. Belopol'skaya, “Probabilistic Models of the Dynamics of the Growth of Cells under Contact Inhibition”, Mat. Zametki, 101:3 (2017),  346–358  mathnet  mathscinet  elib; Math. Notes, 101:3 (2017), 406–416  isi  scopus 4
10. Ya. I. Belopolskaya, A. O. Stepanova, “Stochastic interpretation of the MHD-Burgers system”, Zap. Nauchn. Sem. POMI, 466 (2017),  7–29  mathnet 7
2016
11. Ya. I. Belopol'skaya, “Stochastic interpretation of quasilinear parabolic systems with cross-diffusion”, Teor. Veroyatnost. i Primenen., 61:2 (2016),  268–299  mathnet  mathscinet  elib; Theory Probab. Appl., 61:2 (2017), 208–234  isi  scopus 9
12. Ya. I. Belopolskaya, “Probabilistic models of parabolic conservation and balance laws and systems with switching regimes”, Zap. Nauchn. Sem. POMI, 454 (2016),  5–42  mathnet  mathscinet; J. Math. Sci. (N. Y.), 229:6 (2018), 601–625  scopus 5
2015
13. Ya. I. Belopolskaya, E. I. Nemchenko, “Probabilistic representations and numerical algorithms to construct classical and viscosity solutions of the Cauchy problem for systems of quasilinear parabolic equations”, Zap. Nauchn. Sem. POMI, 442 (2015),  18–47  mathnet  mathscinet; J. Math. Sci. (N. Y.), 225:5 (2017), 733–750 1
2014
14. Ya. I. Belopolskaya, “A stochastic model for the Lotka–Volterra system with cross-diffusion”, Zap. Nauchn. Sem. POMI, 431 (2014),  9–36  mathnet  mathscinet; J. Math. Sci. (N. Y.), 214:4 (2016), 425–442  scopus 3
2013
15. Ya. I. Belopolskaya, “Forward-backward stochastic differential equations associated with systems of quasilinear parabolic equations and comparison theorems”, Zap. Nauchn. Sem. POMI, 412 (2013),  15–46  mathnet  mathscinet; J. Math. Sci. (N. Y.), 204:1 (2015), 7–27  scopus 3
2011
16. Ya. I. Belopolskaya, W. A. Woyczynski, “Probabilistic approach to viscosity solutions of the Cauchy problem for systems of fully nonlinear parabolic equations”, Zap. Nauchn. Sem. POMI, 396 (2011),  31–66  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:6 (2013), 655–672  scopus 4
2010
17. S. A. Albeverio, Ya. I. Belopol'skaya, M. N. Feller, “The Cauchy Problem for the Wave Equation with Lévy Laplacian”, Mat. Zametki, 87:6 (2010),  803–813  mathnet  mathscinet; Math. Notes, 87:6 (2010), 787–796  isi  scopus 4
18. Ya. I. Belopolskaya, M. M. Romadanova, “Probabilistic approach to a free boundary problem and American option procing”, Zap. Nauchn. Sem. POMI, 384 (2010),  40–77  mathnet; J. Math. Sci. (N. Y.), 176:2 (2011), 124–145  scopus
2009
19. Ya. I. Belopolskaya, “Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics”, Zap. Nauchn. Sem. POMI, 368 (2009),  20–52  mathnet; J. Math. Sci. (N. Y.), 167:4 (2010), 444–460  scopus
2008
20. Ya. Belopol'skaya, S. Filimonova, “Arbitrage-free option prices on global markets”, Zap. Nauchn. Sem. POMI, 361 (2008),  5–28  mathnet  zmath; J. Math. Sci. (N. Y.), 159:3 (2009), 281–294  scopus
2007
21. S. A. Albeverio, Ya. I. Belopol'skaya, “Jump processes in $Q_p$ associated with nonlinear pseudo-differential equations”, Zap. Nauchn. Sem. POMI, 351 (2007),  5–37  mathnet  elib; J. Math. Sci. (N. Y.), 152:6 (2008), 799–816  elib  scopus
2004
22. Ya. I. Belopol'skaya, “A probabilistic approach to a solution of nonlinear parabolic equations”, Teor. Veroyatnost. i Primenen., 49:4 (2004),  625–652  mathnet  mathscinet  zmath; Theory Probab. Appl., 49:4 (2005), 589–611  isi 3
23. Ya. I. Belopol'skaya, “Generalized solutions of nonlinear parabolic systems and vanishing viscosity method”, Zap. Nauchn. Sem. POMI, 311 (2004),  7–39  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 133:3 (2006), 1207–1223  elib 3
2002
24. Ya. I. Belopol'skaya, V. È. Volkovich, L. B. Klebanov, “Characterization of Elliptic Distributions”, Zap. Nauchn. Sem. POMI, 294 (2002),  19–28  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 127:1 (2005), 1682–1686 3
2001
25. Ya. I. Belopol'skaya, “Nonlinear equations in diffusion theory”, Zap. Nauchn. Sem. POMI, 278 (2001),  15–35  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 118:6 (2003), 5513–5524 2
1999
26. Ya. I. Belopol'skaya, “Smooth diffusion measures and their transformations”, Zap. Nauchn. Sem. POMI, 260 (1999),  31–49  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2047–2060 3
1997
27. Ya. I. Belopol'skaya, “Probabilistic representation of solutions to boundaryvalue problems for hydrodynamics equations”, Zap. Nauchn. Sem. POMI, 249 (1997),  77–101  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 101:5 (2000), 3422–3436 2
1990
28. Ya. I. Belopol'skaya, “Parabolic equations in sections of principal bundles”, Algebra i Analiz, 2:5 (1990),  80–100  mathnet  mathscinet  zmath; Leningrad Math. J., 2:5 (1991), 1003–1022
1982
29. Ya. I. Belopol'skaya, Yu. L. Daletskii, “Itô equations and differential geometry”, Uspekhi Mat. Nauk, 37:3(225) (1982),  95–142  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:3 (1982), 109–163 19
30. Ya. I. Belopol'skaya, Z. I. Nagolkina, “On a class of stochastic equations with partial derivatives”, Teor. Veroyatnost. i Primenen., 27:3 (1982),  551–559  mathnet  mathscinet  zmath; Theory Probab. Appl., 27:3 (1983), 592–600  isi 3
1980
31. Ya. I. Belopol'skaya, Yu. L. Daletskii, “Markov processes connected with nonlinear parabolic systems”, Dokl. Akad. Nauk SSSR, 250:3 (1980),  521–524  mathnet  mathscinet  zmath 3
32. Ya. I. Belopol'skaya, Yu. L. Daletskii, “An investigation of the Oauchy problem for a non-linear parabolic system by means of operator-valued multiplicative functionals of Markov random processes”, Zap. Nauchn. Sem. LOMI, 96 (1980),  23–29  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 653–657 3
33. Ya. I. Belopol'skaya, “On the first boundary value problem for a system of quasilinear elliptic equations”, Zap. Nauchn. Sem. LOMI, 96 (1980),  13–22  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 645–652
1978
34. Ya. I. Belopol'skaya, Yu. L. Daletskii, “Study of the Cauchy problem for quasilinear parabolic systems using Markov random processes”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 12,  6–17  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:12 (1978), 1–10 12
35. Ya. I. Belopol'skaya, Yu. L. Daletskiĭ, “Diffusion processes in smooth Banach spaces and manifolds. I”, Tr. Mosk. Mat. Obs., 37 (1978),  107–141  mathnet  mathscinet  zmath 4
1973
36. Ya. I. Belopol'skaya, O. A. Grechaniy, “О стохастических моделях и методе пересчета толубинского в линейной теории переноса”, TVT, 11:5 (1973),  1017–1024  mathnet

1978
37. Yu. I. Manin, I. M. Krichever, S. P. Novikov, Ya. I. Belopol'skaya, Yu. L. Daletskii, O. I. Bogoyavlenskii, F. A. Berezin, E. S. Fradkin, E. A. Novikov, Yu. B. Sedov, A. E. Ordanovich, R. Finn, S. I. Andersson, “Sessions of the Petrovskii Seminar on differential equations and mathematical problems of physics”, Uspekhi Mat. Nauk, 33:5(203) (1978),  209–217  mathnet

Presentations in Math-Net.Ru
1. Forward and backward nonlinear Kolmogorov equations for diffusion processes
Ya. I. Belopol'skaya
9th International Conference on Stochastic Methods
June 4, 2024 17:30
2. Probabilistic models of fully nonlinear second order PDEs
Ya. I. Belopol'skaya
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 10, 2023 16:10
3. Стохастические модели законов сохранения и баланса в системах с диссипацией
Ya. I. Belopol'skaya
Principle Seminar of the Department of Probability Theory, Moscow State University
October 27, 2021 16:45   
4. Regular and singular systems of nonlinear forward Kolmogorov equations
Ya. I. Belopolskaya
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 7, 2021 16:15   
5. Вероятностная интерпретация параболических законов сохранения и баланса
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
September 25, 2020 18:00
6. Представления типа Фейнмана–Каца для решений систем нелинейных параболических уравнений
Ya. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
February 15, 2019 18:00   
7. Stochastic processes associated with systems of nonlinear parabolic equations
Ya. I. Belopol'skaya
Principle Seminar of the Department of Probability Theory, Moscow State University
November 28, 2018 16:45
8. Линейные и нелинейные марковские процессы, СДУ и нелинейные уравнения Колмогорова
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
February 16, 2018 18:00
9. Вероятностные модели законов сохранения и баланса
Ya. I. Belopol'skaya
Differential equations, analysis and control: theory and applications
October 23, 2017 18:25
10. Стохастическая интерпретация модельной системы уравнений магнитогидродинамики
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
April 21, 2017 18:00
11. Вероятностная интерпретация параболических законов сохранения и баланса в системах с переключениями режимов
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
October 21, 2016 18:00
12. Stochastic interpretation of quasilinear parabolic systems
Ya. I. Belopol'skaya
Principle Seminar of the Department of Probability Theory, Moscow State University
May 11, 2016 16:45
13. Вероятностная интерпретация различных классов решений задачи Коши для нелинейных параболических уравнений и систем
Ya. I. Belopol'skaya
Seminar of Chebyshev Laboratory on Probability Theory
April 22, 2016 16:00
14. Вероятностная интерпретация обобщенных решений задачи Коши для систем параболических уравнений с кросс-диффузией
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
April 15, 2016 18:00
15. Вероятностная интерпретация обобщенных решений задачи Коши для параболических систем с кросс-диффузией
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
November 6, 2015 18:00
16. Probabilistic representations of classical and generalized Cauchy problem solutions for quasilinear systems of parabolic equations
Ya. I. Belopol'skaya
Principle Seminar of the Department of Probability Theory, Moscow State University
December 17, 2014 16:45
17. Марковские процессы, ассоциированные с системами нелинейных параболических уравнений
Ya. I. Belopol'skaya
Dobrushin Mathematics Laboratory Seminar
December 16, 2014 16:00
18. Main concepts of financial mathematics in 20–21-th centuries
Ya. I. Belopol'skaya
Seminar on the History of Mathematics
December 4, 2014 18:00   
19. Марковские процессы, моделирующие рост популяций клеток при контактном ингибировании
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
October 24, 2014 18:00
20. Markov processes in the theory of nonlinear parabolic equations and systems
Ya. I. Belopol'skaya
St. Petersburg Seminar on Representation Theory and Dynamical Systems
October 1, 2014 17:00
21. Вероятностные модели хемотаксиса
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
November 15, 2013 18:00
22. Марковские процессы, мультипликативные операторные функционалы и их связь с классическими и неклассическими решениями задачи Коши для систем нелинейных параболических уравнений
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
April 26, 2013 18:00
23. Прямые и обратные стохастические уравнения и вязкостные решения сильно нелинейных систем параболических уравнений
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
November 30, 2012 18:00
24. Вероятностный подход к решению задачи Коши для систем параболических уравнений
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
December 16, 2011 18:00
25. Вероятностные подходы к решению краевых задач для нелинейных систем параболических уравнений
Ya. I. Belopol'skaya
Seminar on Probability Theory and Mathematical Statistics
May 6, 2011 18:00
26. Вероятностные модели финансовых рынков и расчет безарбитражных цен опционов (продолжение)
Ya. I. Belopol'skaya
Seminar on Stochastics
December 17, 2010 15:30
27. Вероятностные модели финансовых рынков и расчет безарбитражных цен опционов
Ya. I. Belopol'skaya
Seminar on Stochastics
December 10, 2010 15:30
28. Вероятностный подход к построению слабых решений системы уравнений Навье–Стокса
Ya. I. Belopol'skaya
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 13, 2007 11:00

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