Attracting graphs of skew products with non-contracting fiber maps

Autor:	Edgar Matias, Lorenzo J. Díaz
Rok vydání:	2018
Předmět:	Pure mathematics General Mathematics 010102 general mathematics Skew 01 natural sciences Graph Exponential function Rate of convergence 0103 physical sciences Ergodic theory 010307 mathematical physics 0101 mathematics Invariant (mathematics) Mathematics
Zdroj:	Mathematische Zeitschrift. 291:1543-1568
ISSN:	1432-1823 0025-5874
DOI:	10.1007/s00209-018-2113-2
Popis:	We study attracting graphs of step skew products from the topological and ergodic points of view where the usual contracting-like assumptions of the fiber dynamics are replaced by weaker merely topological conditions. In this context, we prove the existence of an attracting invariant graph and study its topological properties. We prove the existence of globally attracting measures and we show that (in some specific cases) the rate of convergence to these measures is exponential.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3c3eaf473a76dbc475e664267091cc5f https://doi.org/10.1007/s00209-018-2113-2 Zobrazit plný text záznamu Full text from SpringerLink