Convergence of the Stochastic Six-Vertex Model to the ASEPStochastic Six-Vertex Model and ASEP

被引:0
|
作者
Amol Aggarwal
机构
[1] Harvard University Cambridge,
关键词
Asymmetric simple exclusion process; Stochastic six-vertex model; Limit degeneration; Current; 82C22; 60K35; 60J75;
D O I
暂无
中图分类号
学科分类号
摘要
In this note we establish the convergence of the stochastic six-vertex model to the one-dimensional asymmetric simple exclusion process, under a certain limit regime recently predicted by Borodin-Corwin-Gorin. This convergence holds for arbitrary initial data.
引用
收藏
相关论文
共 50 条
  • [1] Convergence of the Stochastic Six-Vertex Model to the ASEP
    Aggarwal, Amol
    [J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2017, 20 (02)
  • [2] PHASE TRANSITIONS IN THE ASEP AND STOCHASTIC SIX-VERTEX MODEL
    Aggarwal, Amol
    Borodin, Alexei
    [J]. ANNALS OF PROBABILITY, 2019, 47 (02): : 613 - 689
  • [3] STOCHASTIC SIX-VERTEX MODEL
    Borodin, Alexei
    Corwin, Ivan
    Gorin, Vadim
    [J]. DUKE MATHEMATICAL JOURNAL, 2016, 165 (03) : 563 - 624
  • [4] CURRENT FLUCTUATIONS OF THE STATIONARY ASEP AND SIX-VERTEX MODEL
    Aggarwal, Amol
    [J]. DUKE MATHEMATICAL JOURNAL, 2018, 167 (02) : 269 - 384
  • [5] On Delocalization in the Six-Vertex Model
    Lis, Marcin
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 383 (02) : 1181 - 1205
  • [6] On Delocalization in the Six-Vertex Model
    Marcin Lis
    [J]. Communications in Mathematical Physics, 2021, 383 : 1181 - 1205
  • [7] A STOCHASTIC TELEGRAPH EQUATION FROM THE SIX-VERTEX MODEL
    Borodin, Alexei
    Gorin, Vadim
    [J]. ANNALS OF PROBABILITY, 2019, 47 (06): : 4137 - 4194
  • [8] The six-vertex model on random lattices
    Zinn-Justin, P
    [J]. EUROPHYSICS LETTERS, 2000, 50 (01): : 15 - 21
  • [9] Six-vertex model with an frustrated impurity
    Hara, Y
    Hatano, N
    Suzuki, M
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1997, 66 (10) : 3048 - 3052
  • [10] Complexity classification of the six-vertex model
    Cai, Jin-Yi
    Fu, Zhiguo
    Xia, Mingji
    [J]. INFORMATION AND COMPUTATION, 2018, 259 : 130 - 141