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  • 天元讲堂(1.8,1.9)杨云博士报告
  • 浏览量:443 发布人:佚名 发布时间:2018-01-02 14:07:13

  • 地点:数学楼报告厅

    题目: What is entropy rigidity and flexibility?

    报告人: 杨云 (City University of New York)

    时间:2018年1月8日 9:00-10:00

    摘要:The algebraic models of Anosov flows are the suspension flows over the algebraic Anosov diffeomorphisms and the geodesic flows on negatively constant curvature spaces.  The algebraic models up to smooth conjugacy are believed to distinguish themselves in many ways. It turns out that entropy rigidity is one of the criterions for algebraic models. In the first part, I will introduce entropy rigidity and flexibility briefly.

    题目: Entropy rigidity for suspension flows over Anosov diffeomorphisms

    报告人: 杨云 (City University of New York)

    时间:2018年1月8日 10:00-11:00

    摘要:In this second part, I will show that for any $C^\infty$, area-preserving Anosov diffeomorphism $f$ of two torus,  a suspension flow over $f$ is $C^\infty$-conjugate to a constant-time suspension flow of a hyperbolic automorphism of the two torus if and only if the volume measure is the measure with maximal entropy.

    题目: Entropy flexibility for volume-normalized roof functions

    报告人: 杨云 (City University of New York) 

    时间:2018年1月8日 11:00-12:00

    摘要: In the third part, I will prove that the metric entropy with respect to the volume measure and the topological entropy of suspension flow of volume-normalized roof functions over Anosov diffeomorphisms on torus achieve all possible values. 


    题目: Entropy rigidity and flexibility  for suspension flows over Anosov diffeomorphisms (II). Entropy flexibility for MME-normalized roof functions

    报告人: 杨云 (City University of New York)

    时间:2018年1月9日 9:00-10:00

    摘要: In the first part,  I will investigate the metric entropy with respect to the volume measure and the topological entropy of suspension flow of maximal-entropy measure-normalized roof functions over Anosov diffeomorphisms on torus achieve all possible values. 

    题目: Entropy gap for Handel-Thurston’s construction

    报告人: 杨云 (City University of New York)

    时间:2018年1月9日 10:00-11:00

    摘要: In the second part, I will talk about the entropy gap for a specific example given by Handel and Thurston.


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