20 citations · 62 across the 17 of their papers we have counts for
4 papers · 1 filter
Brownian Paths Homogeneously Distributed in Space: Percolation Phase Transition and Uniqueness of the Unbounded Cluster
Dirk Erhard, Julián Martínez, Julien Poisat
We consider a continuum percolation model on , .For and , the occupied set is given by the union of independent Brownian paths run…
A Quenched Functional Central Limit Theorem for Planar Random Walks in Random Sceneries
Nadine Guillotin-Plantard, Julien Poisat, Renato Soares Dos Santos
Random walks in random sceneries (RWRS) are simple examples of stochastic processes in disordered media. They were introduced at the end of the 70's by Kesten-Spitzer and Borodin,…
Large deviation principles for words drawn from correlated letter sequences
Frank den Hollander, Julien Poisat
When an i.i.d.\ sequence of letters is cut into words according to i.i.d.\ renewal times, an i.i.d.\ sequence of words is obtained. In the \emph{annealed} LDP (large deviation prin…
The Critical Curve of the Random Pinning and Copolymer Models at Weak Coupling
Quentin Berger, Francesco Caravenna, Julien Poisat +2
We study random pinning and copolymer models, when the return distribution of the underlying renewal process has a polynomial tail with finite mean. We compute the asymptotic behav…