セミナー

発表言語 日本語
開催日 2012年11月16日 14時00分
終了日 2012年11月16日 17時00分
開催場所京都大学理学部6号館609号室
セミナー名京都力学系セミナー
タイトル Entropy-expansive homoclinic classes: from ROBUSTLY to R-ROBUSTLY 
分野 解析
その他
講演者名李 曉龍
講演者所属東京大学
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.
リンクhttps://www.math.kyoto-u.ac.jp/dynamics/