Mazzucchi, Sonia; Moretti, Valter; Remizov, Ivan; Smolyanov, Oleg Chernoff approximations of Feller semigroups in Riemannian manifolds. (English) Zbl 1529.58014 Math. Nachr. 296, No. 3, 1244-1284 (2023). Reviewer: Feng-Yu Wang (Tianjin) MSC: 58J65 58A05 35K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Orlov, Yurii N.; Sakbaev, Vsevolod Zh.; Smolyanov, Oleg G. Unbounded random operators and Feynman formulae. (English. Russian original) Zbl 1422.47049 Izv. Math. 80, No. 6, 1131-1158 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 141-172 (2016). Reviewer: Michael Perelmuter (Kyïv) MSC: 47D08 46G10 81Q30 47A80 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Sakbaev, V. Zh.; Smolyanov, O. G. Diffusion and quantum dynamics on graphs. (English. Russian original) Zbl 1283.47050 Dokl. Math. 88, No. 1, 404-408 (2013); translation from Dokl. Akad. Nauk, 451, No. 2, 141-145 (2013). Reviewer: Mihai Pascu (Bucureşti) MSC: 47D08 47B25 × Cite Format Result Cite Review PDF Full Text: DOI
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. (English. Russian original) Zbl 1280.81046 Theor. Math. Phys. 172, No. 1, 987-1000 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 122-137 (2012). MSC: 81Q05 81S05 81S30 47D08 × Cite Format Result Cite Review PDF Full Text: DOI
Smolyanov, O. G.; von Weizsäcker, H.; Wittich, O. Analytic continuation of the change of variable formula for smooth measures. (English. Russian original) Zbl 1186.46047 Dokl. Math. 77, No. 2, 265-268 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 419, No. 4, 466-470 (2008). Reviewer: Alexander Kachurovskij (Novosibirsk) MSC: 46G12 28B05 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, S.; Smolyanov, O. G. Feynman-Kac formulas for evolution differential equations with white-noise-type coefficients. (English. Russian original) Zbl 0967.60070 Dokl. Math. 60, No. 1, 120-124 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 367, No. 1, 26-30 (1999). Reviewer: A.S.Holevo (Moskva) MSC: 60H99 81S40 × Cite Format Result Cite Review PDF
Albeverio, S.; Smolyanov, O. G. Representations of solutions to some Schrödinger-Belavkin-type equations by functional integrals. (English. Russian original) Zbl 0988.81061 Dokl. Math. 59, No. 1, 141-144 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 364, No. 6, 747-751 (1999). Reviewer: Nicolas Privault (La Rochelle) MSC: 81S40 60H99 × Cite Format Result Cite Review PDF
Albeverio, Sergio; Khrennikov, Andrew; Smolyanov, Oleg The probabilistic Feynman-Kac formula for an infinite-dimensional Schrödinger equation with exponential and singular potentials. (English) Zbl 0940.35207 Potential Anal. 11, No. 2, 157-181 (1999). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 35R15 60H30 35Q40 58D30 47D07 × Cite Format Result Cite Review PDF Full Text: DOI
Smolyanov, O. G. Stochastic Schrödinger-Belavkin equation and the corresponding equations of Kolmogorov and Lindblad. (English. Russian original) Zbl 1028.60063 Mosc. Univ. Math. Bull. 53, No. 4, 18-23 (1998); translation from Vestn. Mosk. Univ., Ser. I 1998, No. 4, 19-24 (1998). Reviewer: A.A.Martynyuk (Kyïv) MSC: 60H15 35R60 × Cite Format Result Cite Review PDF
von Weizsäcker, Heinrich; Smolyanov, O. G. Formulae with logarithmic derivatives of measures related to the quantization of infinite-dimensional Hamiltonian systems. (English. Russian original) Zbl 0877.58032 Russ. Math. Surv. 51, No. 2, 357-358 (1996); translation from Usp. Mat. Nauk 51, No. 2, 149-150 (1996). Reviewer: A.Klíč (Praha) MSC: 53D50 58C35 81S10 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Accardi, Luigi; Smolyanov, O. G. The Gauss process generator by the Levy Laplacian and the corresponding Feynman-Kac formula. (English. Russian original) Zbl 0887.60045 Dokl. Math. 51, No. 3, 370-373 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 342, No. 4, 442-445 (1995). MSC: 60G15 × Cite Format Result Cite Review PDF