4 papers · 1 filter
Zeros of a two-parameter random walk
Davar Khoshnevisan, Pal Revesz
We prove that the number gamma(N) of the zeros of a two-parameter simple random walk in its first N-by-N time steps is almost surely equal to N to the power 1+o(1) as N goes to inf…
Strong limit theorems for a simple random walk on the 2-dimensional comb
E. Csaki, M. Csorgo, A. Foldes +1
We study the path behaviour of a simple random walk on the 2-dimensional comb lattice that is obtained from by removing all horizontal edges off the…
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.…