报告人:历智明 教授
报告题目:The local conditional entropy for random bundle transformations
邀请人:糜泽亚 邹瑞
报告时间:2023年3月9日14:30-15:30
报告地点:腾讯会议(ID: 552-796-205)
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报告摘要:
In this paper we introduce the local topological conditional entropy and two kinds of local measure-theoretic conditional entropy of a finite measurable cover conditioned by a finite measurable partition for random bundle transformations. We find two local random measure-theoretic conditional entropies coincide. A random local conditional variational principle is also established which also provides a natural and intrinsic characterization of random conditional metric mean dimension. This observation leads to a conditional variational principle for random conditional metric mean dimension.
报告人简介:
历智明,西北大学数学学院教授,围绕动力系统的熵,SRB测度,随机稳定性等问题在 Ergodic Theory and Dynamical Systems, Journal of Differential Equations,Nonlinearity等杂志发表论文30余篇.
数学与统计学院
2023年3月7日