The metric entropy of endomorphisms
type: Item
instance of: scholarly article
title: The metric entropy of endomorphisms
zbMATH Open document ID: 1196.37017
author: Lin Shu
published in: Communications in Mathematical Physics
publication date: 2010-01-11T00:00:00Z
review text: \(M\) is a compact connected Riemannian manifold and \(f: M \rightarrow M\) is a \(C^2\) non-invertible but non-degenerate endomorphism After giving some basic notions and properties about forward Lyapunov metric, inverse limit space of (M.f), entropies in this space and partitions subordinate to the stable manifolds, the author proves that an \(f\)-invariant Borel probability measure on \(M\) satisfies an equality relating entropy, folding entropy and negative Lyapunov exponents.
reviewed by: Ubiratan D'Ambrosio
Mathematics Subject Classification ID: 37A35
Mathematics Subject Classification ID: 37A25
zbMATH DE Number: 5655522
zbMATH Keywords: entropy
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: folding entropy
MaRDI profile type: Publication
full work available at URL: s00220-009-0859-4
OpenAlex ID: W1967864064
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DOI: 10.1007/S00220-009-0859-4
description: scientific article; zbMATH DE number 5655522