An irreversible local Markov chain that preserves the six vertex model on a torus

被引：6

作者：

Borodin, Alexei ^{[1
,2
]}

Bufetov, Alexey ^{[1
,3
]}

机构：

[1] MIT, Cambridge, MA 02139 USA

[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow, Russia

[3] Natl Res Univ, Higher Sch Econ, Int Lab Representat Theory & Math Phys, Moscow, Russia

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2017年 / 53卷 / 01期

关键词：

Six vertex model; Markov dynamics; Gibbs measure; GROWTH;

D O I：

10.1214/15-AIHP722

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We construct an irreversible local Markov dynamics on configurations of up-right paths on a discrete two-dimensional torus, that preserves the Gibbs measures for the six vertex model. An additional feature of the dynamics is a conjecturally nontrivial drift of the height function.

引用

页码：451 / 463

页数：13

共 16 条

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