论文标题
对超出均匀双曲线超出某些动力学系统的奇异性优化
Ergodic optimization for some dynamical systems beyond uniform hyperbolicity
论文作者
论文摘要
在本文中，我们表明，对于超出统一双波利度以外的几个有趣的系统，任何通用连续功能都具有零熵的独特最大程度。在某些情况下，我们还知道最大化措施具有全部支持。这些有趣的系统，包括奇异的双曲线吸引子，$ C^\ Infty $表面差异性和差异性差异。
In this paper, we show that for several interesting systems beyond uniform hyperbolicity, any generic continuous function has a unique maximizing measure with zero entropy. In some cases, we also know that the maximizing measure has full support. These interesting systems including singular hyperbolic attractors, $C^\infty$ surface diffeomorphisms and diffeomorphisms away from homoclinic tangencies.
