Variational principle for topological pressures on subsets
نویسندگان
چکیده
منابع مشابه
Variational Principles for Topological Entropies of Subsets
Let (X,T ) be a topological dynamical system. We define the measuretheoretical lower and upper entropies hμ(T ), hμ(T ) for any μ ∈ M(X), where M(X) denotes the collection of all Borel probability measures on X. For any non-empty compact subset K of X, we show that htop(T,K) = sup{hμ(T ) : μ ∈M(X), μ(K) = 1}, htop(T,K) = sup{hμ(T ) : μ ∈M(X), μ(K) = 1}, where htop(T,K) denotes Bowen’s topologic...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2014.11.066