Institut Universitaire de France

output

19932026

most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2013 · math.PRShow all

8 papers · 2 filters

math.PR2013★ 2 cited

Random symmetric matrices on Clifford algebras

Dominique Bakry, Marguerite Zani

We consider Brownian motions and other processes (Ornstein-Uhlenbeck processes, spherical Brownian motions) on various sets of symmetric matrices constructed from algebra structure…

math.PR2013

Some explicit formulas for the Brownian bridge, Brownian meander and Bessel process under uniform sampling

Mathieu Rosenbaum, Marc Yor

We show that simple explicit formulas can be obtained for several relevant quantities related to the laws of the uniformly sampled Brownian bridge, Brownian meander and three dimen…

math.PR2013

On the law of a triplet associated with the pseudo-Brownian bridge

Mathieu Rosenbaum, Marc Yor

We identify the distribution of a natural triplet associated with the pseudo-Brownian bridge. In particular, for $B$ a Brownian motion and $T_{1}$ its first hitting time of the level…

math.PR2013★ 1 cited

On the expectation of normalized Brownian functionals up to first hitting times

Romuald Elie, Mathieu Rosenbaum, Marc Yor

Let B be a Brownian motion and T its first hitting time of the level 1. For U a uniform random variable independent of B, we study in depth the distribution of T^{-1/2}B_{UT}, that…

math.PR2013

The travel time in a finite box in supercritical Bernoulli percolation

Raphaël Cerf

We consider the standard site percolation model on the three dimensional cubic lattice. Starting solely with the hypothesis that $θ (p) > 0$ , we prove that, for any $α > 0$ , there exist…

math.PR2013★ 86 cited

First order global asymptotics for confined particles with singular pair repulsion

Djalil Chafaï, Nathael Gozlan, Pierre-André Zitt

We study a physical system of $N$ interacting particles in $R^{d}$ , $d \geq 1$ , subject to pair repulsion and confined by an external field. We establish a large deviations pr…

math.PR2013★ 20 cited

Dimensional contraction via Markov transportation distance

François Bolley, Ivan Gentil, Arnaud Guillin

It is now well known that curvature conditions à la Bakry-Emery are equivalent to contraction properties of the heat semigroup with respect to the classical quadratic Wasserstein d…

math.PR2013

Increasing processes and the change of variables formula for non-decreasing functions

Jean Bertoin, Marc Yor

Given an increasing process $(A_{t})_{t \geq 0}$ , we characterize the right-continuous non-decreasing functions $f : R_{+} \to R_{+}$ that map $A$ to a pure-jump process. As an example of…