J. Rosen

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20012005

most citedLate points for random walks in two dimensions

42 citations · 65 across the 7 of their papers we have counts for

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Showing 2001 · math.PRShow all

2 papers · 2 filters

math.PR2001

Cover Times for Brownian Motion and Random Walks in Two Dimensions

Amir Dembo, Yuval Peres, Jay Rosen +1

Let T(x,r) denote the first hitting time of the disc of radius r centered at x for Brownian motion on the two dimensional torus. We prove that sup_{x} T(x,r)/|log r|^2 --> 2/pi as…

math.PR2001

Thick points for intersections of planar sample paths

Amir Dembo, Yuval peres, Jay Rosen +1

Let $L_{n}^{X} (x)$ denote the number of visits to $x \in Z^{2}$ of the simple planar random walk $X$ , up till step $n$ . Let $X^{'}$ be another simple planar random walk independent…