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Moderate deviations for the range of planar random walks · arXivDesk

math/0602001Jan 31, 2006

Moderate deviations for the range of planar random walks

Richard F. Bass, Xia Chen, Jay Rosen

Abstract

Given a symmetric random walk in $Z^2$ with finite second moments, let $R_n$ be the range of the random walk up to time $n$ . We study moderate deviations for $R_n -E R_n$

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and

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