摘要
利用非紧集上拓扑压的定义,对任意一个不变测度和一族紧度量空间上的次可加势函数,引进了一个新的次可加测度压的定义.在某些假设下,对任意一个遍历测度,证明了新定义的次可加测度压等于用生成集定义的次可加测度压.进一步得到了一个逆变分原理,即次可加测度压等于在某个非紧集上的拓扑压.
By using the definition of topological pressure for non-compact set,a new def- inition of measure-theoretic pressure for invariant measures of sub-additive potentials on a compact metric space is introduced.For any ergodic measure,under some mild assumptions, the author proves that it is equal to the sub-additive measure-theoretic pressure defined by spanning set.Moreover,an inverse variational principle is obtained.Namely,the sub- additive measure-theoretic pressure is equal to the sub-additive topological pressure on a certain set.
出处
《数学年刊(A辑)》
CSCD
北大核心
2008年第3期325-332,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10571130
No.10501033)资助的项目
关键词
非紧集
测度压
变分原理
Non-compact set, Measure-theoretic pressure, Variational principle