most citedHeavy points of a d-dimensional simple random walk

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math.PR2005★ 1 cited

Heavy points of a d-dimensional simple random walk

Endre Csáki, Antónia Földes, Pál Révész

For a simple symmetric random walk in dimension , a uniform strong law of large numbers is proved for the number of sites with given local time up to time .

math.PR2005

On the increments of the principal value of Brownian local time

Endre Csáki, Yueyun Hu

Let be a one-dimensional Brownian motion starting from 0. Define $Y(t)= \int_0^t{\d s \over W(s)} := \lim_{ε\to0} \int_0^t 1_{(|W(s)|> ε)} {\d s \over W(s)} $ as Cauchy's princ…

math.PR2004★ 1 cited

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…