Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 181, Pages 54–58
DOI: https://doi.org/10.36535/0233-6723-2020-181-54-58 (Mi into657) 		 
A stochastic condition for minimal surfaces

D. S. Klimentov

Southern Federal University, Rostov-on-Don
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DOI: https://doi.org/10.36535/0233-6723-2020-181-54-58
Abstract: In this paper, we obtain a stochastic criterion for a minimal surface in terms of transition densities of random processes generated by the fundamental forms of the surface.
Keywords: transition density of a random process, heat equation, mean curvature.
Bibliographic databases:
Document Type: Article
UDC: 514.772, 519.21
MSC: 53A05, 60J25
Language: Russian
Citation: D. S. Klimentov, “A stochastic condition for minimal surfaces”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 181, VINITI, Moscow, 2020, 54–58
Citation in format AMSBIB
\Bibitem{Kli20}
\by D.~S.~Klimentov
\paper A stochastic condition for minimal surfaces
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 181
\pages 54--58
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into657}
\crossref{https://doi.org/10.36535/0233-6723-2020-181-54-58}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4208368}
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