Displaying similar documents to “Entropy of piecewise monotone mappings”

Entropy-minimality.

Coven, E.M., Smítal, J. (1993)

Acta Mathematica Universitatis Comenianae. New Series

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The topological entropy versus level sets for interval maps

Jozef Bobok (2002)

Studia Mathematica

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We answer affirmatively Coven's question [PC]: Suppose f: I → I is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of f is greater than or equal to log 2?

Entropies of self-mappings of topological spaces with richer structures

Miroslav Katětov (1993)

Commentationes Mathematicae Universitatis Carolinae

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For mappings f : S → S , where S is a merotopic space equipped with a diameter function, we introduce and examine an entropy, called the δ -entropy. The topological entropy and the entropy of self-mappings of metric spaces are shown to be special cases of the δ -entropy. Some connections with other characteristics of self-mappings are considered. We also introduce and examine an entropy for subsets of S N , which is closely connected with the δ -entropy of f : S → S .