9 citations · 35 across the 26 of their papers we have counts for
29 papers · 1 filter
On a Markov construction of couplings
Persi Diaconis, Laurent Miclo
For , let be the law of the number of fixed points of a random permutation of . Let be a Poisson law of parameter 1.A classica…
The stochastic renormalized mean curvature flow for planar convex sets
Marc Arnaudon, Koléhè Coulibaly-Pasquier, Laurent Miclo
We investigate renormalized curvature flow (RCF) and stochastic renormalized curvature flow (SRCF) for convex sets in the plane.RCF is the gradient descent flow for logarithm of $σ…
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…
Construction of set-valued dual processes on manifolds
Marc Arnaudon, Koléhè Coulibaly-Pasquier, Laurent Miclo
The purpose of this paper is to construct a Brownian motion taking values in a Riemannian manifold , together with a compact valued process $D:= (D_t)_{t\…