9 citations · 35 across the 26 of their papers we have counts for
33 papers
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…
Descent modulus and applications
Aris Daniilidis, Laurent Miclo, David Salas
The norm of the gradient f (x) measures the maximum descent of a real-valued smooth function f at x. For (nonsmooth) convex functions, this is expressed by the distance dis…
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…
Swarm gradient dynamics for global optimization: the density case
Jérôme Bolte, Laurent Miclo, Stéphane Villeneuve
Using jointly geometric and stochastic reformulations of nonconvex problems and exploiting a Monge-Kantorovich gradient system formulation with vanishing forces, we formally extend…