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19982008
most citedSelf-intersection local time: Critical exponent, large deviations, and laws of the iterated logarithm

48 citations · 98 across the 15 of their papers we have counts for

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Showing 2004Show all

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math.PR2004

An almost sure invariance principle for renormalized intersection local times

Richard F. Bass, Jay Rosen

Let β_k(n) be the number of self-intersections of order k, appropriately renormalized, for a mean zero random walk X_n in Z^2 with 2+δmoments. On a suitable probability space we ca…

math.PR2004★ 1 cited

An almost sure invariance principle for the range of planar random walks

Richard F. Bass, Jay Rosen

For a symmetric random walk in with moments, we represent , the cardinality of the range, in terms of an expansion involving the renormalized intersec…