论文标题
对于Anosov的同位素地图的平衡状态
Equilibrium states for maps isotopic to Anosov
论文作者
论文摘要
在这项工作中,我们解决了对部分双曲线差异态的存在和独特性(有限)的问题(有限性),该问题是$ \ mathbb {t}^4 $,带有二维中心叶子。为此,我们建议研究沿中心束的一维亚透明的度量分解。此外,我们获得了更一般的结果,该结果表征了我们上下文中千古措施的瓦解。
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on $\mathbb{T}^4$, with 2-dimensional center foliation. To do so we propose to study the disintegration of measures along 1-dimensional subfoliations of the center bundle. Moreover, we obtain a more general result characterizing the disintegration of ergodic measures in our context.