Uniform asymptotic estimates of transition probabilities on combs

Daniela Bertacchi; Fabio Zucca

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Uniform asymptotic estimates of transition probabilities on combs

Daniela Bertacchi·Fabio Zucca

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Abstract

We investigate the asymptotical behaviour of the transition probabilities of the simple random walk on the 2-comb. In particular we obtain space-time uniform asymptotical estimates which show the lack of symmetry of this walk better than local limit estimates. Our results also point out the impossibility of getting Jones-type non-Gaussian estimates.

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BibTeX RIS

Daniela Bertacchi, Fabio Zucca. 2000-08-04. Uniform asymptotic estimates of transition probabilities on combs. https://arxiv.org/abs/math/0008042

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