报告题目:Sinai-Ruelle-Bowenmeasuresofmostlyexpandingsystems
报告人:杨大伟(苏州大学)
报告时间:2024年5月4日星期六上午8:30-10:30
报告地点:数理楼一楼145报告厅
报告摘要:By using the variational approach, we prove the existence of Sinai-Ruelle-Bowen measures for partially hyperbolic $C^1$ diffeomorphisms with the mostly expanding properties. The same conclusion is obtained if one has the dominated splitting $E^{cs}\oplus E^{cu}$, where $\dim E^{cs}=1$ and $E^{cu}$ has the mostly expanding properties. When the diffeomorphisms are $C^{1+\alpha}$, we prove the basin covering property for both cases.
个人简历:杨大伟,苏州大学教授,主要从事微分动力系统及其遍历理论的研究;于2023年获得国家杰出青年基金资助,并曾主持过自然科学基金委优秀青年基金以及多个面上项目;曾获教育部自然科学一等奖(第二完成人)、江苏省数学成就奖等荣誉。