DCDS
Topological pressure and topological entropy of a semigroup of maps
Dongkui Ma Min Wu
Discrete & Continuous Dynamical Systems - A 2011, 31(2): 545-556 doi: 10.3934/dcds.2011.31.545
By using the Carathéodory-Pesin structure(C-P structure), with respect to arbitrary subset, the topological pressure and topological entropy, introduced for a single continuous map, is generalized to the cases of semigroup of continuous maps. Several of their basic properties are provided.
keywords: topological pressure Semigroup of continuous maps C-P structure topological entropy.

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