Random walk on surfaces with hyperbolic cusps

Details Random walk on surfaces with hyperbolic cusps Random walk on surfaces with hyperbolic cusps

2010-05-16

arxiv.org/abs/1005.2754v1

Mathematics

Spectral Theory

28 pages

Scientific paper

We consider the operator associated to a random walk on finite volume
surfaces with hyperbolic cusps. We study the spectral gap (upper and lower
bound) associated to this operator and deduce some rate of convergence of the
iterated kernel towards its stationary distribution.

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