Z+^d作用下Bowen估计慢熵的变分原理

The Variational Principle of Bowen Estimated Slow Entropy under Z+^d Action

设(X,τ)是一个Z+^d作用的动力系统,其中X是一个紧致度量空间,连续变换τ={T^h:X→X}heL是X上的Z+^d作用.本文在系统(X,τ)上引入了Bowen估计慢熵,给出了Bowen估计慢熵的Billingsley定理和变分原理.

Suppose(X,τ) is a dynamic system acted on by Z+^d is a compact metric space,and the continuous transformation τ={T^h:X→X}heL is the effect of Z+^d on X.This paper introduces Bowen Estimated Slow Entropy to the system(X,τ),and provides the Billingsley Theorem and variational principle for Bowen's Estimated Slow Entropy.