天元讲堂（4.26）A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms
报告题目： A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms (part 1)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日09:30-10:30
报告地点 维格堂119
报告摘要 In this talk, we introduce the properties of the geodesic flow on a closed surface with negative curvature.
报告题目： A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms (part 2)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日10:30-11:30
报告地点 维格堂119
报告摘要 In this talk, we review the results of measures maxizing the entropy and fundamental properties of partially hyperbolic dynamics.
报告题目： A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms (part 3)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日11:30-12:30
报告地点 维格堂119
报告摘要 Consider a perturbation of the time-1 map of the geodesic flow on a closed surface with negative curvature. If both stable and unstable foliations are minimal, we prove the following dichotomy for the ergodic measures maximizing the entropy: - either they all have a zero Lyapunov exponent;
- or they are two of them, both hyperbolic, one with a positive exponent, one with a negative exponent.
The proof relies on a generalization of the analysis of mixing Anosov flows in Margulis' 1969 thesis.
Joint work with Todd FISHER and Ali TAHZIBI
报告题目：Shifts of Finite Type (SFTs) and beyond (part 3)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日11:30-12:30
报告地点 维格堂319
报告摘要 We describe the coding of Axiom-A diffeomorphisms as a "good" factor of an SFT given by a Markov partition. Finally we turn to the almost topological classification of SFTs.
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日09:30-10:30
报告地点 维格堂119
报告摘要 In this talk, we introduce the properties of the geodesic flow on a closed surface with negative curvature.
报告题目： A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms (part 2)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日10:30-11:30
报告地点 维格堂119
报告摘要 In this talk, we review the results of measures maxizing the entropy and fundamental properties of partially hyperbolic dynamics.
报告题目： A dichotomy for the measures maxizing the entropy of some partially hyperbolic hyperbolic diffeomorphisms (part 3)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月26日11:30-12:30
报告地点 维格堂119
报告摘要 Consider a perturbation of the time-1 map of the geodesic flow on a closed surface with negative curvature. If both stable and unstable foliations are minimal, we prove the following dichotomy for the ergodic measures maximizing the entropy:
- or they are two of them, both hyperbolic, one with a positive exponent, one with a negative exponent.
The proof relies on a generalization of the analysis of mixing Anosov flows in Margulis' 1969 thesis.
Joint work with Todd FISHER and Ali TAHZIBI
报告题目：Shifts of Finite Type (SFTs) and beyond (part 1)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日09:30-10:30
报告地点 维格堂319
报告摘要 We review the classical theory of SFTs, starting with the basic definitions and their main topological invariant (the entropy).
报告题目：Shifts of Finite Type (SFTs) and beyond (part 2)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日10:30-11:30
报告地点 维格堂319
报告摘要 We then discuss their spectral decomposition, periodic points and the Parry measure maximizing the entropy.
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日09:30-10:30
报告地点 维格堂319
报告摘要 We review the classical theory of SFTs, starting with the basic definitions and their main topological invariant (the entropy).
报告题目：Shifts of Finite Type (SFTs) and beyond (part 2)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日10:30-11:30
报告地点 维格堂319
报告摘要 We then discuss their spectral decomposition, periodic points and the Parry measure maximizing the entropy.
报告题目：Shifts of Finite Type (SFTs) and beyond (part 3)
报告人 Jerome Buzzi（巴黎南大学, CNRS研究员）
报告时间 2018年4月27日11:30-12:30
报告地点 维格堂319
报告摘要 We describe the coding of Axiom-A diffeomorphisms as a "good" factor of an SFT given by a Markov partition. Finally we turn to the almost topological classification of SFTs.