55 citations
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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…
math.PR2015★ 4 cited
Mixing time and local exponential ergodicity of the East-like process in
Paul Chleboun, Alessandra Faggionato, Fabio Martinelli
The East process, a well known reversible linear chain of spins, represents the prototype of a general class of interacting particle systems with constraints modeling the dynamics…