Good Local Bounds for Simple Random Walks

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We give a local central limit theorem for simple random walks on Z^d, including Gaussian error estimates. The detailed proof combines standard large deviation techniques with Cramer-Edgeworth expansions for lattice distributions.
8 pages

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Probability, Spectral Theory, 60F05;60G50

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http://salesiana.dossiersoluciones.com/handle/123456789/64745

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208147
 http://arxiv.org/abs/math/0208147

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arXiv