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  • 标题:Upper tail decay of KPZ models with Brownian initial conditions
  • 本地全文:下载
  • 作者:Patrik L. Ferrari ; Bálint Vető
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2021
  • 卷号:26
  • 页码:1-14
  • DOI:10.1214/21-ECP385
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要:In this paper we consider the limiting distribution of KPZ growth models with random but not stationary initial conditions introduced in [6]. The one-point distribution of the limit is given in terms of a variational problem. By directly studying it, we deduce the right tail asymptotic of the distribution function. This gives a rigorous proof and extends the results obtained by Meerson and Schmidt in [18].
  • 关键词:60F10; 60K35; growth models; Kardar–Parisi–Zhang universality class; random initial conditions; upper tail asymptotic
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