Non-uniqueness for specifications in l2+ε

被引：6

作者：

Berger, Noam ^{[1
,2
]}

Hoffman, Christopher ^{[3
]}

Sidoravicius, Vladas ^{[4
,5
,6
]}

机构：

[1] Tech Univ Munich, Dept Math, Boltzmannstr 3, D-85748 Garching, Germany

[2] Hebrew Univ Jerusalem, Dept Math, Jerusalem, Israel

[3] Univ Washington, Dept Math, Box 354350, Seattle, WA 98195 USA

[4] NYU, Courant Inst Math Sci, New York, NY USA

[5] NYU Shanghai, NYU ECNU Inst Math Sci, Shanghai, Peoples R China

[6] Cemaden, Sao Jose Dos Campos, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2018年 / 38卷

关键词：

COMPLETE CONNECTIONS; PERCOLATION MODELS; PHASE-TRANSITION; UNIQUENESS; CHAINS; REPRESENTATION; DISCONTINUITY; EXISTENCE;

D O I：

10.1017/etds.2016.101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For every p > 2, we construct a regular and continuous specification (g-function), which has a variation sequence that is in l(p) and which admits multiple Gibbs measures. Combined with a result of Johansson and Oberg [Square summability of variations of g-functions and uniqueness in g-measures. Math. Res. Lett. 10(5-6) (2003), 587-601], this determines the optimal modulus of continuity for a specification which admits multiple Gibbs measures.

引用

页码：1342 / 1352

页数：11

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