学术报告

华中科技大学数学中心现代动力系统、统计物理小型研讨会

作者:    发布时间:2019-09-04    浏览次数:
华中科技大学数学中心现代动力系统、统计物理小型研讨会报告人:吴伟胜(中国农业大学)报告内容:Unstable entropies and Pressure of partially hyperbolic diffeomorphisms摘要:Given a partially hyperbolic diffeomorphism, we introduce the notions of unstable metric entropy and unstable topological entropy. These notions coincide with the entropy defined by Ledrappier-Young and unstable volume growth rate...






    华中科技大学数学中心现代动力系统、统计物理小型研讨会


    报告人:吴伟胜(中国农业大学)

    报告内容:Unstable entropies and Pressure of partially hyperbolic diffeomorphisms

    摘要:Given a partially hyperbolic diffeomorphism, we introduce the notions of unstable metric entropy and unstable topological entropy. These notions coincide with the entropy defined by Ledrappier-Young and unstable volume growth rate considered by Hua-Saghin-Xia respectively. A variational principle can be established which states that unstable topological entropy is the supremum of unstable metric entropy taken over all invariant measures. Other properties such as upper semicontinuity of unstable entropy function will be also discussed. These results can be extended to the unstable pressure and the so-called u-equilibrium states can be investigated.

    报告时间:2019年8月25日上午9:30-10:30


    报告人:周晶(武汉大学)

    报告内容:Attempts of Locating Accelerating Orbits in Fermi-Ulam models

    摘要:I’ll briefly go through a series of results on people’s attempts of locating accelerating orbits in various Fermi-Ulam models. The talk will cover some papers from Laederich&Levi, Pustyl’nikov, Zharnitsky, de Simon&Dolgopyat, Rom-Kedar&Turaev&Shah, and myself.

    报告时间:2019年8月25日上午10:30-11:30


    报告人:张智元(北京大学)

    报告内容:On the set of pseudo-rotations of the annulus.

    摘要:I will briefly review the history of pseudo-rotation and prove several rigidity results.

    报告时间:2019年8月26日上午9:30-10:30


    报告人:许雷叶(中国科技大学)

    报告内容:Ergodic optimization theory for a class of discrete and continuous typical systems

    摘要:In this talk, I will report some recent development on ergodic optimization theory for a class of discrete and continuous typical systems, such as Anosov diffeomorphisms, Axiom A attractors, Axiom A flows.

    报告时间:2019年8月26日上午10:30-11:30