A limit theorem for diffusions on graphs with variable configuration
Probability
2007-05-23 v1
Abstract
A limit theorem for a sequence of diffusion processes on graphs is proved in a case when vary both parameters of the processes (the drift and diffusion coefficients on every edge and the asymmetry coefficients in every vertex), and configuration of graphs, where the processes are set on. The explicit formulae for the parameters of asymmetry for the vertices of the limiting graph are given in the case, when, in the pre-limiting graphs, some groups of vertices form knots contracting into a points.
Cite
@article{arxiv.math/0701632,
title = {A limit theorem for diffusions on graphs with variable configuration},
author = {Alexey M. Kulik},
journal= {arXiv preprint arXiv:math/0701632},
year = {2007}
}
Comments
18 pages, 2 figures