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On the Asymptotic Behavior of Local Probabilities of a Multidimensional Random Walk Crossing Nonlinear Boundaries

โœ Scribed by Ragimov, F. G.

Book ID
118219959
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
145 KB
Volume
54
Category
Article
ISSN
0040-585X

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Ideas cultivated in spectral geometry are applied to obtain an asymptotic property of a reversible random walk on an infinite graph satisfying a certain periodic condition. In the course of our argument, we employ perturbation theory for the maximal eigenvalues of twisted transition operator. As a r