Cristian F. Coletti

activity

20062026

most citedCentral Limit Theorem for the Elephant Random Walk

91 citations · 215 across the 31 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

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 $Z$ with unbounded memory called the elephant random walk (ERW). We prove a strong invariance principle for the ER…

math.PR2017

Global survival of branching random walks and tree-like branching random walks

Daniela Bertacchi, Cristian F. Coletti, Fabio Zucca

The reproduction speed of a continuous-time branching random walk is proportional to a positive parameter $λ$ . There is a threshold for $λ$ , which is called $λ_{w}$ , that separates a…