Comparing measure theoretic entropy for -finite measures with topological entropy
Magda Komorníková, Jozef Komorník (1983)
Mathematica Slovaca
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Displaying similar documents to “Entropy for noninvariant measures”
Comparing measure theoretic entropy for -finite measures with topological entropy
Goodwyn's theorem for sequential entropy on pseudocompact spaces
Magda Komorníková, Jozef Komorník (1983)
Mathematica Slovaca
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Tomasz Downarowicz, Jacek Serafin (2002)
Fundamenta Mathematicae
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We consider a pair of topological dynamical systems on compact Hausdorff (not necessarily metrizable) spaces, one being a factor of the other. Measure-theoretic and topological notions of fiber entropy and conditional entropy are defined and studied. Abramov and Rokhlin's definition of fiber entropy is extended, using disintegration. We prove three variational principles of conditional nature, partly generalizing some results known before in metric spaces: (1) the topological conditional...
A Common Generalization of Topological and Measure-Theoretic Entropy
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