Moderate deviations for the range of planar random walks
Richard F. Bass, Xia Chen, Jay Rosen
Abstract
Given a symmetric random walk in Z2 with finite second moments, let Rn be the range of the random walk up to time n. We study moderate deviations for Rn -E Rn and E Rn -Rn. We also derive the corresponding laws of the iterated logarithm.
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