On the scaling limits of weakly asymmetric bridges
Labbé, Cyril (2018), On the scaling limits of weakly asymmetric bridges, Probability Surveys, 15, p. 156-242. 10.1214/17-PS285
Type
Article accepté pour publication ou publiéExternal document link
https://arxiv.org/abs/1609.05617Date
2018Journal name
Probability SurveysVolume
15Publisher
Institute of Mathematical Statistics
Pages
156-242
Publication identifier
Metadata
Show full item recordAbstract (EN)
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−α with α∈(0,∞). We provide a classification of the asymptotic behaviours - invariant measure, hydrodynamic limit and fluctuations - of this model according to the value of the parameter α.Subjects / Keywords
asymmetric bridgesRelated items
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