天元讲堂(1.20)Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes
报告人 王晓东(上海交通大学)
报告时间 2017年1月20日14:00-15:00
报告地点 维格堂319
报告摘要 We prove a conjecture raised by Diaz and Gorodetski: for C1-generic diffeomorphisms, if a homoclinic class H(p) is not hyperbolic, then there exists a non-hyperbolic ergodic measure supported on it. In the proof, we have to use a useful technique introduced by [GIKN] to construct ergodic measures as a weak-*-limit of a sequence of periodic measures. This is a joint work with C. Cheng, S. Crovisier, S. Gan and D. Yang.