Examples of Cr interval map with large symbolic extension entropy. .

Abstract

For any integer r2 and any real ϵ>0, we construct an explicit example of Cr interval map f with maximal symbolic extension entropy. Similar examples had been already built by T.Downarowicz and S.Newhouse for diffeomorphisms in higher dimension by using generic arguments on homoclinic tangencies.

Publication
Discrete Contin. Dyn. Syst. 26 (2010), no. 3, 873-899
David Burguet
David Burguet
CNRS Researcher