Equilibrium states for random lattice models of hyperbolic type

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:265

Article

Li, Zhiming¹ 

[1] Northwest Univ, Sch Math, Xian, Shaanxi, Peoples R China

关键词: Equilibrium states;    Random hyperbolic systems;   

DOI  :  10.1016/j.jde.2018.06.019

来源: Elsevier

【 摘 要 】

We study the structural stability of random coupled map lattice models of hyperbolic type under certain metrics. Furthermore, by describing the thermodynamic formalism of the underlying random spin lattice system, we prove the existence of equilibrium states for equi-Holder continuous random functions on lattice models under the conditions of random weak interaction and translation invariance and present some partial results on the uniqueness of equilibrium states. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free