3 citations · 4 across the 10 of their papers we have counts for
11 papers
Cutoff in separation profile for the flat torus, sphere, and projective spaces
Koléhè Coulibaly-Pasquier
In this paper we show that the cutoff in separation profile for Brownian motion on flat torus T n\,; on spheres S n\,; on real, complex and quaternionic projective space resp. P n…
Cutoff in separation for compact harmonic manifold
Koléhè Coulibaly-Pasquier, Magalie Bénéfice
We show that cutoff in separation occurs for Brownian motion in some families of compact harmonic manifolds. We compute the cutoff time and windows in four families of compact harm…
On the separation cut-off phenomenon for Brownian motions on high dimensional rotationally symmetric compact manifolds
Koléhè Coulibaly-Pasquier, Marc Arnaudon, Laurent Miclo
Given a family of rotationally symmetric compact manifolds indexed by the dimension and a weight function, the goal of this paper is to investigate the cut-off phenomenon for the B…
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…
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\…