101 citations · 292 across the 18 of their papers we have counts for
18 papers
Transience and recurrence of random walks on percolation clusters in an ultrametric space
D. A. Dawson, L. G. Gorostiza
We study existence of percolation in the hierarchical group of order , which is an ultrametric space, and transience and recurrence of random walks on the percolation clusters.…
From intersection local time to the Rosenblatt process
Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk
The Rosenblatt process was obtained by Taqqu (1975) from convergence in distribution of partial sums of strongly dependent random variables. In this paper we give a particle pictur…
A strong uniform approximation of sub-fractional Brownian motion
Johanna Garzon, Luis G. Gorostiza, Jorge A. Leon
Sub-fractional Brownian motion is a process analogous to fractional Brownian motion but without stationary increments. In \cite{GGL1} we proved a strong uniform approximation with…
Oscillatory Fractional Brownian Motion and Hierarchical Random Walks
Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk
We introduce oscillatory analogues of fractional Brownian motion, sub-fractional Brownian motion and other related long range dependent Gaussian processes, we discuss their propert…
Approximations of Fractional Stochastic Differential Equations by Means of Transport Processes
J. Garzón, L. G. Gorostiza, J. A. León
We present strong approximations with rate of convergence for the solution of a stochastic differential equation of the form where , $…
Number variance for hierarchical random walks and related fluctuations
Tomasz Bojdecki, Luis G. Gorostiza, Anna Talarczyk
We study an infinite system of independent symmetric random walks on a hierarchical group, in particular, the c-random walks. Such walks are used, e.g., in population genetics. The…