On the scaling limits of weakly asymmetric bridges - Archive ouverte HAL
Article Dans Une Revue Probability Surveys Année : 2018

On the scaling limits of weakly asymmetric bridges

Cyril Labbé

Résumé

We consider a discrete bridge from $(0,0)$ to $(2N,0)$ evolving according to the corner growth dynamics, where the jump rates are subject to an upward asymmetry of order $N^{-\alpha}$ with $\alpha \in (0,\infty)$. We provide a classification of the asymptotic behaviours - invariant measure, hydrodynamic limit and fluctuations - of this model according to the value of the parameter $\alpha$.

Dates et versions

hal-01428012 , version 1 (06-01-2017)

Identifiants

Citer

Cyril Labbé. On the scaling limits of weakly asymmetric bridges. Probability Surveys, 2018, 15, pp.156-242. ⟨10.1214/17-PS285⟩. ⟨hal-01428012⟩
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