91直播

91直播：王晓东 副教授（上海交通大学）

时间：2024年10月25日 14:00-

腾讯会议ID：112-363-120

摘要：We characterize the hyperbolicity of a homoclinic class through the hyperbolicity of ergodic measures supported on it. To be precise, we prove that for generic diffeomorphisms, a homoclinic class either is hyperbolic or supports a non-hyperbolic ergodic measure. This proves a conjecture raised by Diaz-Gorodetski. We also explore the support and the number of vanishing Lyapunov exponents of the non-hyperbolic ergodic measure under certain conditions.

邀请人：任宪坤

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