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Russian Mathematical Surveys, 1975, Volume 30, Issue 1, Pages 1–63
DOI: https://doi.org/10.1070/RM1975v030n01ABEH001400 (Mi rm4123) 		 
This article is cited in 153 scientific papers (total in 154 papers)

Diffusion processes fnd Riemannian geometry

S. A. Molchanov
English version PDF (2605 kB) Citations (154)
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DOI: https://doi.org/10.1070/RM1975v030n01ABEH001400
Abstract: This paper studies the asymptotic behaviour as $t\to 0$ of the transition density of a diffusion process on a smooth manifold. The results are stated in the language of differential geometry. We look at applications of the asymptotic formulae to the local structure of diffusion processes and to spectral theory.
Received: 12.03.1974
Russian version:
Uspekhi Matematicheskikh Nauk, 1975, Volume 30, Issue 1(181), Pages 3–59
Bibliographic databases:
Document Type: Article
UDC: 519.9+513.8
MSC: 58J65, 58J60, 60J60, 58J37
Language: English
Original paper language: Russian
Citation: S. A. Molchanov, “Diffusion processes fnd Riemannian geometry”, Uspekhi Mat. Nauk, 30:1(181) (1975), 3–59; Russian Math. Surveys, 30:1 (1975), 1–63
Citation in format AMSBIB
\Bibitem{Mol75}
\by S.~A.~Molchanov
\paper Diffusion processes fnd Riemannian geometry
\jour Uspekhi Mat. Nauk
\yr 1975
\vol 30
\issue 1(181)
\pages 3--59
\mathnet{http://mi.mathnet.ru/rm4123}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=413289}
\zmath{https://zbmath.org/?q=an:0305.53041|0315.53026}
\transl
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 1
\pages 1--63
\crossref{https://doi.org/10.1070/RM1975v030n01ABEH001400}
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  • https://www.mathnet.ru/eng/rm/v30/i1/p3
    • This publication is cited in the following 154 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:3268
    Russian version PDF:909
    English version PDF:72
    References:136
    First page:2
     
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