自由半群和斜积映射下的拓扑压

Topological Pressure of Free Semigroup Actions and Skew-product Transformations

本文利用生成集和分离集定义符号空间中自由半群作用下的拓扑压,讨论该拓扑所具有的性质,再结合斜积映射得到相应的乘积定理.

In this paper we define the topological pressure under the action of free semigroups in symbolic space by the spanning set and the separation set,investigate the properties of its topology and obtain a product theorem by a skew product mapping.