A probabilistic representation of constants in Kesten's renewal theorem

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The aims of this paper are twofold. Firstly, we derive some probabilistic representation for the constant which appears in the one-dimensional case of Kesten's renewal theorem. Secondly, we estimate the tail of some related random variable which plays an essential role in the description of the stable limit law of one-dimensional transient sub-ballistic random walks in random environment.
27 pages

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Probability, 60H25, 60K05

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http://salesiana.dossiersoluciones.com/handle/123456789/158443

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703648
 http://arxiv.org/abs/math/0703648

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arXiv