Autor:	Markarian, R., Pacifico, M. J., Vieitez, J.
Rok vydání:	2012
Předmět:	Mathematics - Dynamical Systems 37D30 37C29 37E30
Druh dokumentu:	Working Paper
DOI:	10.1088/0951-7715/26/1/269
Popis:	Let $f: [0,1]\times [0,1] \setminus {1/2} \to [0,1]\times [0,1]$ be the $C^\infty$ endomorphism given by $$f(x,y)=(2x- [2x], y+ c/\|x-1/2\|- [y+ c/\|x-1/2\|]),$$ where $c$ is a positive real number. We prove that $f$ is topologically mixing and if $c>1/4$ then $f$ is mixing with respect to Lebesgue measure. Furthermore we prove that the speed of mixing is exponential. Comment: 23 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1202.2162 Zobrazit plný text záznamu View this record from Arxiv