55 citations · 55 across the 1 of their papers we have counts for
3 papers
math.PR2020
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…
math.PR2019
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…
math.PR2017★ 55 cited
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…