4 papers
On the local time of the Half-Plane Half-Comb walk
Endre Csaki, Antonia Foldes
The Half-Plane Half-Comb walk is a random walk on the plane, when we have a square lattice on the upper half-plane and a comb structure on the lower half-plane, i.e. horizontal lin…
On the number of cutpoints of the transient nearest neighbor random walk on the line
Endre Csáki, Antónia Földes, Pál Révész
We consider transient nearest neighbor random walks on the positive part of the real line. We give criteria for the finiteness of the number of cutpoints and strong cutpoints. Exam…
Transient nearest neighbor random walk and Bessel process
Endre Csáki, Antónia Földes, Pál Révész
We prove strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times.…
On the behavior of random walk around heavy points
Endre Csáki, Antónia Földes, Pál Révész
Consider a symmetric aperiodic random walk in , . There are points (called heavy points) where the number of visits by the random walk is close to its maximum. We inv…