9 citations · 35 across the 26 of their papers we have counts for
3 papers · 2 filters
On the separation cut-off phenomenon for Brownian motions on high dimensional spheres
Marc Arnaudon, Koléhé Abdoulaye Coulibaly-Pasquier, Laurent Miclo
This note proves that the separation convergence towards the uniform distribution abruptly occurs at times around ln(n)/n for the (time-accelerated by 2) Brownian motion on the sph…
A random walk on the Rado graph
Sourav Chatterjee, Persi Diaconis, Laurent Miclo
The Rado graph, also known as the random graph , is a classical limit object for finite graphs. We study natural ball walks as a way of understanding the geometry of…
Discrete self-similar and ergodic Markov chains
Laurent Miclo, Pierre Patie, Rohan Sarkar
The first aim of this paper is to introduce a class of Markov chains on which are discrete self-similar in the sense that their semigroups satisfy an invariance prop…