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On Diffusion at Finite Speed in a Plane
Author(s) -
Kolesnik A. D.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20010811594
Subject(s) - diffusion , plane (geometry) , homogeneous , diffusion process , poisson distribution , poisson process , mathematics , mathematical analysis , process (computing) , statistical physics , geometry , physics , computer science , innovation diffusion , quantum mechanics , statistics , knowledge management , operating system
We consider a diffusion generated by random motions at finite speed v in a plane with n, n ≥ 2, directions controlled by a homogeneous Poisson process of rate λ > 0. The diffusion approximation theorem for the transition functions of this process is given.