output
19932026
most citedPlanck 2015 results. XIII. Cosmological parameters

10.6k citations

Showing 2012 · math.PRShow all

5 papers · 2 filters

math.PR2012★ 59 cited

Chaos of a Markov operator and the fourth moment condition

M. Ledoux

We analyze from the viewpoint of an abstract Markov operator recent results by Nualart and Peccati, and Nourdin and Peccati, on the fourth moment as a condition on a Wiener chaos t…

math.PR2012★ 8 cited

Critical population and error threshold on the sharp peak landscape for the Wright-Fisher model

Raphaël Cerf

We pursue the task of developing a finite population counterpart to Eigen's model. We consider the classical Wright-Fisher model describing the evolution of a population of size $m…

math.PR2012

Some two-dimensional extensions of Bougerol's identity in law for the exponential functional of linear Brownian motion

Jean Bertoin, Daniel Dufresne, Marc Yor

We present a two-dimensional extension of an identity in distribution due to Bougerol \cite{Bou} that involves the exponential functional of a linear Brownian motion. Even though t…

math.PR2012★ 5 cited

Maximal stream and minimal cutset for first passage percolation through a domain of

Raphaël Cerf, Marie Théret

We consider the standard first passage percolation model in the rescaled graph for and a domain of boundary in . Let and …

math.PR2012★ 11 cited

Integrability properties and limit theorems for the exit time from a cone of planar Brownian motion

Stavros Vakeroudis, Marc Yor

We obtain some integrability properties and some limit theorems for the exit time from a cone of a planar Brownian motion, and we check that our computations are correct via Bouger…