Disorder relevance for the random walk pinning model in dimension 3
Matthias Birkner, Rongfeng Sun (2011)
Annales de l'I.H.P. Probabilités et statistiques
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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...