| 概要 | Entropy-expansiveness is a kind of generalization of uniform
hyperbolicity from the point of view of topological entropy.
Due to a previous theorem by Pacifico and Vieitez (2010),
robust sharing of this property can give some differential
information in an open and dense subset of diffeomorphims
nearby. In this talk, I would like to extend this theorem
by introducing a relatively weaker assumption, called R-robustly
entropy-expansiveness, which implies completely the same
results as above. Moreover, some relevant ergodic consequences
of index-adapted dominated splitting are provided. |