国家天元数学中部中心Colloquium报告 | 杨大伟 教授(苏州大学)

发布时间: 2023-12-12 15:58

报告题目:Sinai-Ruelle-Bowen measures of mostly expanding systems

报告时间:2023-12-25   16:40-17:40

报 告 人 :杨大伟  教授  苏州大学

报告地点:理学院东北楼四楼报告厅(404)

Abstract:By using the variational approach, we prove the existence of Sinai-Ruelle-Bowen measures for partially hyperbolic C1 diffeomorphisms with the mostly expanding properties. The same conclusion is obtained if one has the dominated splitting EcsEcu, where dim Ecs =1 and Ecu has the mostly expanding properties. When the diffeomorphisms are C1+α, we prove the basin covering property for both cases.