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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…