42 citations · 65 across the 7 of their papers we have counts for
9 papers
Large deviations for renormalized self-intersection local times of stable processes
Richard Bass, Xia Chen, Jay Rosen
We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index β\in (2d/3,d]. We find a difference between the upper and low…
Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks
Richard F. Bass, Xia Chen, Jay Rosen
Let B_n be the number of self-intersections of a symmetric random walk with finite second moments in the integer planar lattice. We obtain moderate deviation estimates for B_n - E…
A random walk proof of the Erdos-Taylor conjecture
Jay Rosen
For the simple random walk in Z^2 we study those points which are visited an unusually large number of times, and provide a new proof of the Erdos-Taylor conjecture describing the…
Frequently visited sets for random walks
Endre Csáki, Antónia Földes, Pál Révész +2
We study the occupation measure of various sets for a symmetric transient random walk in with finite variances. Let denote the occupation time of the set up to…
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…
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…