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- W2238895987 abstract "In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Biś. Some examples with positive or zero Hausdorff metric entropy are given. Moreover, some notions of chaos are also well generalized for finitely generated semigroups from a set-valued view." @default.
- W2238895987 created "2016-06-24" @default.
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- W2238895987 date "2016-01-13" @default.
- W2238895987 modified "2023-09-27" @default.
- W2238895987 title "Entropy of a semigroup of maps from a set-valued view" @default.
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