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Good Local Bounds for Simple Random Walks

Christine Ritzmann
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Abstract

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.

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Christine Ritzmann. 2002-08-21. Good Local Bounds for Simple Random Walks. https://arxiv.org/abs/math/0208147

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