The local variational principle of topological pressure for sub-additive potentials |
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| Authors: | Beimei Chen Yongluo Cao |
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| Institution: | a Suzhou Vocational University, Suzhou 215104, Jiangsu, PR Chinab Department of Mathematics, Suzhou (Soochow) University, Suzhou 215006, Jiangsu, PR Chinac Institute of Mathematics, Fudan University, Shanghai, 200433, PR China |
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| Abstract: | Let (X,T) be a topological dynamical system and  be a sub-additive potential on C(X,R). Let U be an open cover of X. Then for any T-invariant measure μ, let  . The topological pressure for open covers U is defined for sub-additive potentials. Then we have a variational principle: |
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| Keywords: | primary 37D35 secondary 37C45 |
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