论文标题
不稳定的熵和不稳定的部分双曲机内态压力
Unstable Entropy and Unstable Pressure for Partially Hyperbolic Endomorphisms
论文作者
论文摘要
在本文中，引入并研究了不稳定的度量熵，不稳定的拓扑熵和不稳定的压力。建立了Shannon-Mcmillan-Breiman定理的一种版本，并制定了各种原理，从而在不稳定的度量熵与不稳定的压力（不稳定的拓扑熵）之间产生了关系。作为变异原则的应用，给出了$ U $平衡状态的一些结果。
In this paper, unstable metric entropy, unstable topological entropy and unstable pressure for partially hyperbolic endomorphisms are introduced and investigated. A version of Shannon-McMillan-Breiman Theorem is established, and a variational principle is formulated, which gives a relationship between unstable metric entropy and unstable pressure (unstable topological entropy). As an application of the variational principle, some results on the $u$-equilibrium states are given.
