某个非紧集上的拓扑压的变分原理(英文)

On the variational principle for topological pressure of certain non-compact set

任给一个遍历测度,我们考虑在该测度下Brin-Katok定理和Birkhoff遍历定理成立的点所组成的集合.我们证明了测度理论压等于这个集合上的拓扑压.

For any ergodic measure,we considered the set of points which satisfy the Brin-Katok theorem and Birkhoff ergodic theorem with respect to this measure.We prove that the measure-theoretic pressure is equal to the topological pressure for this set.