Equilibrium states for Mañé diffeomorphisms
Equilibrium states for Mañé diffeomorphisms
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DOI：
10.1017/etds.2017.125
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发表时间：
2019-09
影响因子：
0.9
通讯作者：
V. Climenhaga;T. Fisher;D. Thompson
中科院分区：
文献类型：
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作者：
V. Climenhaga;T. Fisher;D. Thompson
研究了Mañé引入的鲁棒传递微分同胚族的热力学形式，建立了势函数自然类平衡态的存在唯一性。特别地，我们将这些微分同态的Sinaĭ-Ruelle-Bowen测度描述为一个合适的几何势的唯一平衡态。我们还得到了由主要定理产生的唯一平衡态的大偏差和多重分形结果。
We study thermodynamic formalism for the family of robustly transitive diffeomorphisms introduced by Mañé, establishing existence and uniqueness of equilibrium states for natural classes of potential functions. In particular, we characterize the Sinaĭ–Ruelle–Bowen measures for these diffeomorphisms as unique equilibrium states for a suitable geometric potential. We also obtain large deviations and multifractal results for the unique equilibrium states produced by the main theorem.