Long time behavior of stochastic hard ball systems

  • We study the long time behavior of a system of two or three Brownian hard balls living in the Euclidean space of dimension at least two, submitted to a mutual attraction and to elastic collisions.

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Metadaten
Author details:Patrick Cattiaux, Myriam Fradon, Alexei Michajlovič KulikORCiDGND, Sylvie RoellyGND
URN:urn:nbn:de:kobv:517-opus-68388
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (2(2013)15)
Publication type:Preprint
Language:English
Completion year:2013
Publishing institution:Universität Potsdam
Release date:2013/10/21
Tag:Stochastic differential equations; hard core interaction; local time; normal reflection; reversible measure
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:60-XX PROBABILITY THEORY AND STOCHASTIC PROCESSES (For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) / 60Hxx Stochastic analysis [See also 58J65] / 60H10 Stochastic ordinary differential equations [See also 34F05]
60-XX PROBABILITY THEORY AND STOCHASTIC PROCESSES (For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) / 60Jxx Markov processes / 60J55 Local time and additive functionals
60-XX PROBABILITY THEORY AND STOCHASTIC PROCESSES (For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX) / 60Kxx Special processes / 60K35 Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2013
License (German):License LogoUrheberrechtsschutz