20 citations · 62 across the 17 of their papers we have counts for
18 papers
Variational representation and estimates for the free energy of a quenched charged polymer model
Julien Poisat
Random walks with a disordered self-interaction potential may be used to model charged polymers. In this paper we consider a one-dimensional and directed version of the charged pol…
Uniqueness and tube property for the Swiss cheese large deviations
Julien Poisat, Dirk Erhard
We consider the simple random walk on the Euclidean lattice, in three dimensions and higher, conditioned to visit fewer sites than expected, when the deviation from the mean scales…
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard, Julien Poisat
In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the to…
Localization of a one-dimensional simple random walk among power-law renewal obstacles
Julien Poisat, Francois Simenhaus
We consider a one-dimensional simple random walk killed by quenched soft obstacles. The position of the obstacles is drawn according to a renewal process with a power-law increment…
A limit theorem for the survival probability of a simple random walk among power-law renewal traps
Julien Poisat, François Simenhaus
We consider a one-dimensional simple random walk surviving among a field of static soft traps : each time it meets a trap the walk is killed with probability 1--e -- , where …
The random pinning model with correlated disorder given by a renewal set
Dimitris Cheliotis, Yuki Chino, Julien Poisat
We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent > 0, when the correlated sequence is given by…
Annealed scaling for a charged polymer in dimensions two and higher
Quentin Berger, Frank den Hollander, Julien Poisat
This paper considers an undirected polymer chain on , , with i.i.d.\ random charges attached to its constituent monomers. Each self-intersection of the poly…
Asymptotics of the critical time in Wiener sausage percolation with a small radius
Dirk Erhard, Julien Poisat
We consider a continuum percolation model on , where .The occupied set is given by the union of independent Wiener sausages with radius running up to time an…
On the critical curves of the Pinning and Copolymer models in Correlated Gaussian environment
Quentin Berger, Julien Poisat
We investigate the disordered copolymer and pinning models, in the case of a correlated Gaussian environment with summable correlations, and when the return distribution of the und…
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…
Ruelle-Perron-Frobenius operator approach to the annealed pinning model with Gaussian long-range correlated disorder
Julien Poisat
In this paper we study the pinning model with correlated Gaussian disorder. The presence of correlations makes the annealed model more involved than the usual homogeneous model, wh…
Quenched Central Limit Theorems for Random Walks in Random Scenery
Nadine Guillotin-Plantard, Julien Poisat
Random walks in random scenery are processes defined by where is a random walk evolving in and $ω:=(ω_x, x\in{\mathbb…
Random pinning model with finite range correlations : disorder relevant regime
Julien Poisat
The purpose of this paper is to show how one can extend some results on disorder relevance obtained for the random pinning model with i.i.d disorder to the model with finite range…
Two Pinning Models with Markov disorder
Julien Poisat
Disordered pinning models deal with the (de)localization tran- sition of a polymer in interaction with a heterogeneous interface. In this paper, we focus on two models where the in…
On quenched and annealed critical curves of random pinning model with finite range correlations
Julien Poisat
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a q-order moving average and show that the critical…