Currently displaying 1 – 6 of 6

Showing per page

Order by Relevance | Title | Year of publication

Annealed vs quenched critical points for a random walk pinning model

Matthias BirknerRongfeng Sun — 2010

Annales de l'I.H.P. Probabilités et statistiques

We study a random walk pinning model, where conditioned on a simple random walk on ℤ acting as a random medium, the path measure of a second independent simple random walk up to time is Gibbs transformed with hamiltonian − (, ), where (, ) is the collision local time between and up to time . This model arises naturally in various contexts, including the study of the parabolic Anderson model with moving catalysts, the parabolic Anderson model with brownian noise,...

Disorder relevance for the random walk pinning model in dimension 3

Matthias BirknerRongfeng Sun — 2011

Annales de l'I.H.P. Probabilités et statistiques

We study the continuous time version of the , where conditioned on a continuous time random walk ( )≥0 on ℤ with jump rate > 0, which plays the role of disorder, the law up to time of a second independent random walk ( )0≤≤ with jump rate 1 is Gibbs transformed with weight e (,), where (, ) is the collision local time between and up to time . As the inverse temperature varies, the model undergoes a localization–delocalization...

The renormalization transformation for two-type branching models

D. A. DawsonA. GrevenF. den HollanderRongfeng SunJ. M. Swart — 2008

Annales de l'I.H.P. Probabilités et statistiques

This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of individuals migrating between and interacting within colonies. Their large-scale space–time behavior can be studied by means of a renormalization program. This program, which has been carried out successfully in a number of other cases (mostly one-dimensional), is based on the construction and the analysis of...

Page 1

Download Results (CSV)