天元讲堂(9.5)糜泽亚:Gibbs cu-states for maps with mostly expanding and contracting centers
报告题目:Gibbs cu-states for maps with mostly expanding and contracting centers
报告人:糜泽亚 (南京信息工程大学)
时间:2019年9月5日(星期四)10:00—11:00
地点:苏州大学本部校区精正楼(数学楼)307报告厅
摘要:We give the definition of Gibbs cu-state for C^1 partially hyperbolic diffeomorphisms with mostly expanding and contracting centers, and show that the space of these Gibbs cu-states is compact, convex and upper semi-continuous. Moreover, we discuss the Cesaro accumulation point of the iterates of (normalized) Lebesgue measure on compact disks tangent to the unstable cone fields.
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