Properties of centered random walks on locally compact groups and Lie groups

Details Properties of centered random walks on locally compact groups and Lie groups Properties of centered random walks on locally compact groups and Lie groups

2007-03-18

arxiv.org/abs/math/0703530v1

Mathematics

Probability

52 pages. Accepted in 2006 for publication in Revista Matematica Iberoamericana

Scientific paper

The basic aim of this paper is to study asymptotic properties of the convolution powers K^(n) = K * K * ... * K of a possibly non-symmetric probability density K on a locally compact, compactly generated group G. If K is centered, we show that the Markov operator T associated with K is analytic in L^p(G) for 1

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