S. A. Molchanov, “Strongly-Feller's diffusion processes on smooth manifolds”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 493–498; Theory Probab. Appl., 13:3 (1968), 471

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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 3, Pages 493–498 (Mi tvp870)

This article is cited in 10 scientific papers (total in 10 papers)

Short Communications

Strongly-Feller's diffusion processes on smooth manifolds

S. A. Molchanov

Moscow

Full-text PDF (440 kB) Citations (10)

Abstract: We prove that the coalescence of two regular strongly-Feller's processes is a process of the same type. Using this result, we construct non-degenerate strongly-Feller's diffusion processes on smooth manifolds.
Some of the main results of this paper have been formulated by I. V. Girsanov in his article [1].

Received: 27.02.1968

English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 3, Pages 471–475
DOI: https://doi.org/10.1137/1113056

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Molchanov, “Strongly-Feller's diffusion processes on smooth manifolds”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 493–498; Theory Probab. Appl., 13:3 (1968), 471–475

Citation in format AMSBIB

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\by S.~A.~Molchanov

\paper Strongly-Feller's diffusion processes on smooth manifolds

\jour Teor. Veroyatnost. i Primenen.

\yr 1968

\vol 13

\issue 3

\pages 493--498

\mathnet{http://mi.mathnet.ru/tvp870}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=238393}

\zmath{https://zbmath.org/?q=an:0177.21805|0167.17001}

\transl

\jour Theory Probab. Appl.

\yr 1968

\vol 13

\issue 3

\pages 471--475

\crossref{https://doi.org/10.1137/1113056}

Linking options:

https://www.mathnet.ru/eng/tvp870

https://www.mathnet.ru/eng/tvp/v13/i3/p493

This publication is cited in the following 10 articles:

Kazuhiro Kuwae, Songzi Li, Xiang-Dong Li, Yohei Sakurai, “Liouville theorem for V-harmonic maps under non-negative (m,V)-Ricci curvature for non-positive m”, Stochastic Processes and their Applications, 168 (2024), 104270
Seiichiro Kusuoka, Kazuhiro Kuwae, Kouhei Matsuura, Springer Proceedings in Mathematics & Statistics, 394, Dirichlet Forms and Related Topics, 2022, 279
Kazuhiro Kuwae, Xiang‐Dong Li, “New Laplacian comparison theorem and its applications to diffusion processes on Riemannian manifolds”, Bulletin of London Math Soc, 54:2 (2022), 404
Sergei N. Smirnov, “Garantirovannyi deterministskii podkhod k superkhedzhirovaniyu: model rynka, torgovye ogranicheniya i uravneniya Bellmana–Aizeksa”, MTIP, 10:4 (2018), 59–99
V. I. Bogachev, M. Röckner, “A generalization of Khasminskii's theorem on the existence of invariant measures for locally integrable drifts”, Theory Probab. Appl., 45:3 (2001), 363–378
P. K. Suetin, B. I. Golubov, A. F. Leont'ev, M. I. Voǐtsekhovskiǐ, S. A. Aǐvazyan, A. Shtern, L. V. Kuz'min, A. A. Sapozhenko, K. A. Borovkov, M. S. Nikulin, V. P. Maslov, P. S. Modenov, A. I. Shtern, A. G. Dragalin, Vik. S. Kulikov, V. I. Nechaev, E. P. Dolzhenko, E. D. Solomentsev, T. P. Lukashenko, Yu. N. Subbotin, L. D. Ivanov, A. V. Arkhangel'skiǐ, V. I. Ponomarev, E. B. Vinberg, S. A. Telyakovskiǐ, I. I. Volkov, S. N. Smirnov, A. V. Tolstikov, S. A. Stepanov, V. M. Babich, D. D. Sokolov, L. D. Kudryavtsev, D. N. Zubarev, I. V. Proskuryakov, R. A. Minlos, Yu. P. Ivanilov, V. V. Okhrimenko, N. N. Vorob'ev, B. A. Pasynkov, M. Sh. Tsalenko, A. D. Kuz'min, B. L. Laptev, V. S. Malakhovskiǐ, V. I. Malykhin, T. S. Fofanova, A. L. Onishchik, V. E. Plisko, V. N. Latyshev, A. I. Kostrikin, I. V. Dolgachev, Yu. I. Yanov, Yu. I. Merzlyakov, O. A. Ivanova, A. N. Parshin, S. N. Artemov, G. S. Asanov, A. D. Aleksandrov, V. N. Berestovsk, Encyclopaedia of Mathematics, 1995, 549
M. Hazewinkel, Encyclopaedia of Mathematics, 1994, 64
M. Hazewinkel, Encyclopaedia of Mathematics, 1989, 471
Peter Baxendale, “Wiener processes on manifolds of maps”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 87:1-2 (1980), 127
MARK A. PINSKY, Probabilistic Analysis and Related Topics, 1978, 199

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Theory of Probability and its Applications

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