Uniform asymptotic estimates of transition probabilities on combs

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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.
31 pages

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Probability, Functional Analysis, 60j15

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http://salesiana.dossiersoluciones.com/handle/123456789/59681

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008042
 http://arxiv.org/abs/math/0008042

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arXiv