Invariance entropy for topological semigroup actions

Colonius, Fritz; Fukuoka, Ryuichi; Santana, Alexandre

doi:10.1090/S0002-9939-2013-11705-3

Invariance entropy for topological semigroup actions
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by Fritz Colonius, Ryuichi Fukuoka and Alexandre J. Santana PDF

Proc. Amer. Math. Soc. 141 (2013), 4411-4423 Request permission

Abstract:

Invariance entropy for the action of topological semigroups acting on metric spaces is introduced. It is shown that invariance entropy is invariant under conjugations and a lower bound and upper bounds of invariance entropy are obtained. The special case of control systems is discussed.

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