Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains

Details Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains

2009-10-07

arxiv.org/abs/0910.1316v1

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 35-2, pp. 503-513, 2010

Mathematics

Dynamical Systems

Scientific paper

10.5186/aasfm.2010.3531

Let $M$ be a closed surface and $f$ a diffeomorphism of $M$. A diffeomorphism is said to permute a dense collection of domains, if the union of the domains are dense and the iterates of any one domain are mutually disjoint. In this note, we show that if $f \in \diff^{1+\alpha}(M)$, with $\alpha>0$, and permutes a dense collection of domains with bounded geometry, then $f$ has zero topological entropy.

Affiliated with

Also associated with

No associations

Rating

Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains 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 Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Entropy and Diffeomorphisms of Surfaces with Wandering Domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-36818