Coding and entropy for piecewise continuous piecewise monotone transformations

Autor:	C. Kopf
Rok vydání:	2005
Předmět:	Discrete mathematics Combinatorics Applied Mathematics Piecewise linear manifold Symbolic dynamics Piecewise Entropy (information theory) Topological entropy Disjoint sets Analysis Piecewise monotone Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 61:269-275
ISSN:	0362-546X
DOI:	10.1016/j.na.2003.07.024
Popis:	We use ideas of symbolic dynamics to define the topological entropy h ( S ) for a piecewise continuous piecewise monotone interval map S by counting the n-addresses of S with respect to a suitable system of pairwise disjoint open intervals. It turns out that this definition yields the same value as Bowen's definition using ( n , e ) -separated and ( n , e ) -spanning sets.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::bf37dd8636f236e8e7ac156c403cea3d https://doi.org/10.1016/j.na.2003.07.024 Zobrazit plný text záznamu Full Text from ScienceDirect