Mathieu Merle

Research and Publications

My research interests are in Probability Theory. These include interacting particle systems, super-Brownian motion, invasion percolation, random trees. More precisions can be found in this research statement.

with Omer Angel and Jesse Goodman Scaling limit of invasion percolation on a regular tree, IPtree.pdf; with Iddo Ben-Ari and Alexander Roitershtein A random walk on Z with drift driven by its occupation time at the origin. ORW.pdf ; arXiv:math.PR/ The following three articles consituted my PhD thesis , which I did at the departement of mathematics of ENS, under the supervision of Jean-François Le Gall. Hitting probability of a distant point for the voter model started with a single one, voter.pdf, The Annals of Probability, Vol. 36-3 (2008), pp. 807-861, journal final version. with Jean-François Le Gall, On the occupation measure of super-Brownian motion, occupation.pdf, Electronic Comm. Probab. 11 (2006), pp252-265. Local behavior of local times of super-Brownian motion, Local_Times.pdf, Ann. Inst. Henri Poincaré, 42 (2006), pp. 491-520.