91 citations · 174 across the 7 of their papers we have counts for
7 papers
Limit theorems for a random walk with memory perturbed by a dynamical system
Cristian F. Coletti, Lucas R. de Lima, Renato J. Gava +1
We introduce a new random walk with unbounded memory obtained as a mixture of the Elephant Random Walk and the Dynamic Random Walk which we call the Dynamic Elephant Random Walk (D…
Limit theorems for a minimal random walk model
Cristian F Coletti, Lucas R de Lima, Renato Gava
We study the minimal random walk introduced by Kumar, Harbola and Lindenberg. It is a random process on with unbounded memory which exhibits subdiffusive, diffu…
A strong invariance principle for the elephant random walk
Cristian F. Coletti, Renato Gava, Gunter M. Schütz
We consider a non-Markovian discrete-time random walk on with unbounded memory called the elephant random walk (ERW). We prove a strong invariance principle for the ER…
Central Limit Theorem for the Elephant Random Walk
Cristian F. Coletti, Renato Gava, Gunter M. Schütz
We study the so-called elephant random walk (ERW) which is a non-Markovian discrete-time random walk on with unbounded memory which exhibits a phase transition from di…
On the existence of accessibility in a tree-indexed percolation model
Cristian F. Coletti, R. J. Gava, Pablo M. Rodriguez
We study the accessibility percolation model on infinite trees. The model is defined by associating an absolute continuous random variable to each vertex of the tree. The…
The K-process on a tree as a scaling limit of the GREM-like trap model
L. R. G. Fontes, R. J. Gava, V. Gayrard
We introduce trap models on a finite volume -level tree as a class of Markov jump processes with state space the leaves of that tree. They serve to describe the GREM-like trap m…
Scaling limits and aging for asymmetric trap models on the complete graph and K-processes
S. C. Bezerra, L. R. G. Fontes, R. J. Gava +2
We obtain scaling limit results for asymmetric trap models and their infinite volume counterparts, namely asymmetric K processes. Aging results for the latter processes are derived…