42 citations · 104 across the 12 of their papers we have counts for
12 papers
Residence time of symmetric random walkers in a strip with large reflective obstacles
Alessandro Ciallella, Emilio N. M. Cirillo, Julien Sohier
We study the effect of a large obstacle on the so called residence time, i.e., the time that a particle performing a symmetric random walk in a rectangular (2D) domain needs to cro…
Disorder relevance without Harris Criterion: the case of pinning model with -stable environment
Hubert Lacoin, Julien Sohier
We investigate disorder relevance for the pinning of a renewal whose inter-arrival law has tail exponent when the law of the random environment is in the domain of attraction…
Convergence to equilibrium for a directed (1+d)-dimensional polymer
Pietro Caputo, Julien Sohier
We consider a flip dynamics for directed (1+d)-dimensional lattice paths with length L. The model can be interpreted as a higher dimensional version of the simple exclusion process…
Metastability for general dynamics with rare transitions: escape time and critical configurations
Emilio Cirillo, Francesca Nardi, Julien Sohier
Metastability is a physical phenomenon ubiquitous in first order phase transitions. A fruitful mathematical way to approach this phenomenon is the study of rare transitions Markov…
Conditioned, quasi-stationary, restricted measures and escape from metastable states
Roberto Fernandez, Francesco Manzo, Francesca Nardi +2
We study the asymptotic hitting time of a family of Markov processes to a target set when the process starts from a trap defined by very general prope…
Hierarchical pinning model: low disorder relevance in the case
Julien Sohier
We consider a hierarchical pinning model introduced by B.Derrida, V.Hakim and J.Vannimenus which undergoes a localization/delocalization phase transition. This model depends on two…
The scaling limits of the non critical strip wetting model
Julien Sohier
The strip wetting model is defined by giving a (continuous space) one dimensionnal random walk a reward $\gb$ each time it hits the strip (where is a…
A comparison between different cycle decompositions for Metropolis dynamics
Emilio N. M. Cirillo, Francesca R. Nardi, Julien Sohier
In the last decades the problem of metastability has been attacked on rigorous grounds via many different approaches and techniques which are briefly reviewed in this paper. It is…
Levy multiplicative chaos and star scale invariant random measures
Rémi Rhodes, Julien Sohier, Vincent Vargas
In this article, we consider the continuous analog of the celebrated Mandelbrot star equation with infinitely divisible weights. Mandelbrot introduced this equation to characterize…
Scaling limits of a heavy tailed Markov renewal process
Julien Sohier
In this paper we consider heavy tailed Markov renewal processes and we prove that, suitably renormalised, they converge in law towards the $\ga$-stable regenerative set. We then ap…
A functional limit convergence towards brownian excursion
Julien Sohier
We consider a random walk in the domain of attraction of a standard normal law , \textit{ie} there exists a positive sequence such that converges in law towa…
Finite size scaling for homogeneous pinning models
Julien Sohier
Pinning models are built from discrete renewal sequences by rewarding (or penalizing) the trajectories according to their number of renewal epochs up to time , and is then s…