Ground states are generically a periodic orbit

• 成果类型: Article
• 署名作者: Contreras, Gonzalo
• 署名单位: CIMAT - Centro de Investigacion en Matematicas
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-015-0638-0
• 发表日期: 2016
• 页码: 383-412
• 关键词: minimizing measures; ergodic optimization; lagrangian systems; temperature zero; gibbs measures; entropy

摘要

We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.