Good Local Bounds for Simple Random Walks
classification
🧮 math.PR
math.SP
keywords
localrandomsimplewalksboundscentralcombinescramer-edgeworth
read the original 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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