论文标题
在流动和同构中的某些独特平衡状态的k-property
The K-Property for Some Unique Equilibrium States in Flows and Homeomorphisms
论文作者
论文摘要
我们制定了一些通用标准来证明k-property，完善了arxiv：1906.09315中用于流情况的假设，并引入了类似的离散时间结果。我们还引入了单方面的$λ$ - 分组，以及检查显示K-Property所需的压力差距的多种技术。我们将结果应用于MañéDiffemormorpiss和Katok地图的家族。我们的论点建立在轨道分解理论的基础上。
We set out some general criteria to prove the K-property, refining the assumptions used in arXiv:1906.09315 for the flow case, and introducing the analogous discrete-time result. We also introduce one-sided $λ$-decompositions, as well as multiple techniques for checking the pressure gap required to show the K-property. We apply our results to the family of Mañé diffeomorphisms and the Katok map. Our argument builds on the orbit decomposition theory of Climenhaga and Thompson.
