Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

The entropy conjecture for diffeomorphisms away from tangencies

Gang LiaoMarcelo VianaJiagang Yang — 2013

Journal of the European Mathematical Society

We prove that every C 1 diffeomorphism away from homoclinic tangencies is entropy expansive, with locally uniform expansivity constant. Consequently, such diffeomorphisms satisfy Shub’s entropy conjecture: the entropy is bounded from below by the spectral radius in homology. Moreover, they admit principal symbolic extensions, and the topological entropy and metrical entropy vary continuously with the map. In contrast, generic diffeomorphisms with persistent tangencies are not entropy expansive.

Page 1

Download Results (CSV)