Symbolic extensions in intermediate smoothness on surfaces

Details Symbolic extensions in intermediate smoothness on surfaces Symbolic extensions in intermediate smoothness on surfaces

2011-03-30

arxiv.org/abs/1103.5843v1

Mathematics

Dynamical Systems

27 pages

Scientific paper

We prove that $\mathcal{C}^r$ maps with $r>1$ on a compact surface have symbolic extensions, i.e. topological extensions which are subshifts over a finite alphabet. More precisely we give a sharp upper bound on the so-called symbolic extension entropy, which is the infimum of the topological entropies of all the symbolic extensions. This answers positively a conjecture of S.Newhouse and T.Downarowicz in dimension two and improves a previous result of the author \cite{burinv}.

Affiliated with

Also associated with

No associations

Rating

Symbolic extensions in intermediate smoothness on surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Symbolic extensions in intermediate smoothness on surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symbolic extensions in intermediate smoothness on surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-567601