On the local time of anisotropic random walk on Z^2
We study the local time of the anisotropic random walk on the two-dimensional lattice Z^2, by establishing the exact asymptotic behavior of the N-step return probability to the origin.
math.PR↗
arXiv subjects
Antonia Földes
Publications and source records attributed to Antonia Földes.
Some limit theorems for heights of random walks on spider
A simple symmetric random walk is considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We establish a strong approximation of this random walk by the so-called Brownian spider. Transition probabilities are studied, and for a fixed number of legs we investigate how high the walker can go on the legs in $n$ steps. The heights on the legs are also investigated when the number of legs goes to infinity.
math.PR↗