Abstract
Abstract
We consider the class of the continuous functions from [0, 1] into itself which preserve the Lebesgue measure. This class endowed with the uniform metric constitutes a complete metric space. We investigate the dynamical properties of typical maps from the space.
Funder
Agence Nationale de la Recherche
European Regional Development Fund
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Reference34 articles.
1. Ergodic theory of generic continuous maps;Abdenur;Commun. Math. Phys.,2013
2. Generic properties of measure preserving homeomorphisms;Alpern,1979
3. A topological analog of Halmos’ conjugacy lemma;Alpern;Invent. Math.,1978
4. Ergodic theory for Markov fibred systems and parabolic rational maps;Aaronson;Trans. Am. Math. Soc.,1993
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献