论文标题
自由半群动作的拓扑压力和鲍恩方程，ii
Topological pressure of free semigroup actions for non-compact sets and Bowen's equation, II
论文作者
论文摘要
受到Ma和Wu \ cite {Ma}和Climenhaga \ Cite {Climenhaga}的启发，我们通过使用Carathéodory-Pesin结构（C-P结构）在本文中介绍了carathéodory-Pesin结构（C-P结构），从而介绍了一个新的地图拓扑压力。此外，根据Bowen的方程式，我们表征了任意子集的Hausdorff尺寸，其中该子集的点具有正下Lyapunov指数，并满足了所谓的缓和收缩条件。
Inspired to the work of Ma and Wu\cite{Ma} and Climenhaga\cite{Climenhaga}, we introduce the new nation of topological pressure of a semigroup of maps by using the Carathéodory-Pesin structure (C-P structure) with respect to arbitrary subset in this paper. Moreover, by Bowen's equation, we characterize the Hausdorff dimension of an arbitrary subset, where the points of the subset have the positive lower Lyapunov exponents and satisfy a so called tempered contraction condition.
