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On Entropy and Pressure via Preimage Structure for Random Dynamical Systems
报告人:王昕晟博士,汕头大学 时间:2023年5月16日11:00 字号:

报告地点:行健楼学术活动室526

邀请人:陈二才教授

摘要: In this talk, entropy, pressure and equilibrium states are investigated for noninvertible random dynamical systems via the preimage structure. For a continuous random dynamical system, the folding entropy, preimage entropy and preimage pressure are introduced, variational principles are obtained. For a nondegenerate random partially hyperbolic dynamical system the notions of metric stable entropy and stable pressure via the preimage structure of local stable manifolds are proposed, and variational principles are established. As applications of variational principles, p-equilibrium states (resp. s-equilibrium states) and p-tangent functionals (resp. s-tangent functionals) are studied. This is a joint work with Weisheng Wu and Yujun Zhu.

报告人简介:王昕晟博士,汕头大学数学系讲师,博士毕业于河北师范大学,曾在厦门大学从事博士后研究。主要研究方向是微分动力系统和随机动力系统。已在JDEDCDS-ASci. China Math.等期刊发表学术文章。


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