Good Local Bounds for Simple Random Walks

Details Good Local Bounds for Simple Random Walks Good Local Bounds for Simple Random Walks

2002-08-21

arxiv.org/abs/math/0208147v1

Mathematics

Probability

8 pages

Scientific paper

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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