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:
Ya. Belopolskaya, Modern Stochastics and Applications. Part II.
Probabilistic counterparts of nonlinear parabolic PDE systems, Springer Optimization and Its Applications, 90, Springer, Berlin, 2014
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
Ya. Belopolskaya, “Probabilistic approach to solution of nonlinear PDES arising in financial mathematics”, Journal of Mathematical Sciences, 167:4 (2010), 444–460
Belopolskaya Ya. I., “Pryamye-obratnye stokhasticheskie uravneniya,
svyazannye s sistemami kvazilineinykh parabolicheskikh uravnenii i
teoremy sravneniya”, Zapiski nauchn sem. POMI, 412 (2013), 15–46
Ya. Belopolskaya, “Arbitrage-free option prices on
global markets”, Journal of Mathematical Sciences, 159:3 (2009), 281–294
Ya. I. Belopolskaya, A. A. Chubatov, “Investment optimization in the Heston model”, Zap. Nauchn. Sem. POMI, 526 (2023), 29–51
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
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; Math. Notes, 109:3 (2021), 347–357
Ya. I. Belopol'skaya, “Systems of nonlinear backward and forward Kolmogorov equations:
generalized solutions”, Teor. Veroyatnost. i Primenen., 66:1 (2021), 20–54; Theory Probab. Appl., 66:1 (2021), 15–43
Ya. I. Belopol'skaya, “Probabilistic Models of the Dynamics of the Growth of Cells under Contact Inhibition”, Mat. Zametki, 101:3 (2017), 346–358; Math. Notes, 101:3 (2017), 406–416
Ya. I. Belopol'skaya, “Stochastic interpretation of quasilinear parabolic systems with cross-diffusion”, Teor. Veroyatnost. i Primenen., 61:2 (2016), 268–299; Theory Probab. Appl., 61:2 (2017), 208–234
Ya. I. Belopolskaya, “Probabilistic models of parabolic conservation and balance laws and systems with switching regimes”, Zap. Nauchn. Sem. POMI, 454 (2016), 5–42; J. Math. Sci. (N. Y.), 229:6 (2018), 601–625
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; J. Math. Sci. (N. Y.), 225:5 (2017), 733–750
Ya. I. Belopolskaya, “A stochastic model for the Lotka–Volterra system with cross-diffusion”, Zap. Nauchn. Sem. POMI, 431 (2014), 9–36; J. Math. Sci. (N. Y.), 214:4 (2016), 425–442
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; J. Math. Sci. (N. Y.), 204:1 (2015), 7–27
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; J. Math. Sci. (N. Y.), 188:6 (2013), 655–672
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; Math. Notes, 87:6 (2010), 787–796
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; J. Math. Sci. (N. Y.), 176:2 (2011), 124–145
2009
19.
Ya. I. Belopolskaya, “Probabilistic approach to solution of nonlinear PDEs arising in financial mathematics”, Zap. Nauchn. Sem. POMI, 368 (2009), 20–52; J. Math. Sci. (N. Y.), 167:4 (2010), 444–460
2008
20.
Ya. Belopol'skaya, S. Filimonova, “Arbitrage-free option prices on global markets”, Zap. Nauchn. Sem. POMI, 361 (2008), 5–28; J. Math. Sci. (N. Y.), 159:3 (2009), 281–294
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; J. Math. Sci. (N. Y.), 152:6 (2008), 799–816
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; Theory Probab. Appl., 49:4 (2005), 589–611
Ya. I. Belopol'skaya, “Generalized solutions of nonlinear parabolic systems and vanishing viscosity method”, Zap. Nauchn. Sem. POMI, 311 (2004), 7–39; J. Math. Sci. (N. Y.), 133:3 (2006), 1207–1223
Ya. I. Belopol'skaya, V. È. Volkovich, L. B. Klebanov, “Characterization of Elliptic Distributions”, Zap. Nauchn. Sem. POMI, 294 (2002), 19–28; J. Math. Sci. (N. Y.), 127:1 (2005), 1682–1686
Ya. I. Belopol'skaya, “Nonlinear equations in diffusion theory”, Zap. Nauchn. Sem. POMI, 278 (2001), 15–35; J. Math. Sci. (N. Y.), 118:6 (2003), 5513–5524
Ya. I. Belopol'skaya, “Smooth diffusion measures and their transformations”, Zap. Nauchn. Sem. POMI, 260 (1999), 31–49; J. Math. Sci. (New York), 109:6 (2002), 2047–2060
Ya. I. Belopol'skaya, “Probabilistic representation of solutions to boundaryvalue problems for hydrodynamics equations”, Zap. Nauchn. Sem. POMI, 249 (1997), 77–101; J. Math. Sci. (New York), 101:5 (2000), 3422–3436
Ya. I. Belopol'skaya, “Parabolic equations in sections of principal bundles”, Algebra i Analiz, 2:5 (1990), 80–100; 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; Russian Math. Surveys, 37:3 (1982), 109–163
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; Theory Probab. Appl., 27:3 (1983), 592–600
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; J. Soviet Math., 21:5 (1983), 653–657
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; 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; Soviet Math. (Iz. VUZ), 22:12 (1978), 1–10
Ya. I. Belopol'skaya, O. A. Grechaniy, “О стохастических моделях и методе пересчета толубинского в линейной теории переноса”, TVT, 11:5 (1973), 1017–1024
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
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