1 citations · 2 across the 4 of their papers we have counts for
4 papers
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 .
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…
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…
Strong approximations of three-dimensional Wiener sausages
Endre Csáki, Yueyun Hu
In this paper we prove that the centered three-dimensional Wiener sausage can be strongly approximated by a one-dimensional Brownian motion running at a suitable time clock. The st…