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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
This paper define the topological tail pressure for sub-additive potentials and, under some assumptions, get a variational principle which exhibits the relationship between topological tail pressure and measure-theoretic tail entropy. Then, this paper definea new measure-theoretic tail pressure for invariant measures of sub-additive potentials on a compact metric space and an interesting property of it is obtained.