报告一

题目：From three to multiple degrees of freedom

报告人：程崇庆 (南京大学)

时间：11月11日09:00-09:40

地点：法学院B105

摘要: To show how to  construct  diffusion orbits in  systems with multiple degrees of freedom.

报告二

题目：动力系统中的平均维数

报告人：陈二才 (南京师范大学)

时间：11月11日10:05- 10:45

地点：法学院B105

报告三

题目：Abundance of Smale’s horseshoes and ergodic measures via multifractal analysis and various quantitative spectrums

报告人：田学廷 (复旦大学)

时间：11月11日10:05-10:45

地点：法学院B105

摘要：In this talk we consider intermediate entropy property under the observation of continuous functions. On one hand this refined the Katok’s intermediate entropy property to get a multifractal version. On the other hand it helps us to get the intermediate properties of Hausdorff dimension geometric pressure, unstable Hausdorff dimension, first return rate, Lyapunov exponents etc. The considered systems include uniformly hyperbolic diffeomorphisms. or flows, nonuniformly hyperbolic diffeomorphisms.  Or singular hyperbolic flows, and many symbolic dynamics. In this process, we introduce and establish a “multi-horseshoe” entropy-dense property and use it to get the goal combined with the well known conditional variational principles.

报告四

题目：Rigidity of length spectrum of Bunimovich stadium

报告人：张宏坤 (UMass-Amherst)

时间：11月11日14:00-14:40

地点：法学院B105

报告五

题目：Singularities propagation in deterministic and random setting

报告人：程伟 (南京大学)

时间：11月11日14:45- 15:25

地点：法学院B105

摘要: There are various notions of singular characteristics in the theory of propagation singularities of viscosity solutions. In this talk, we will discuss the variational construction of generalized characteristics and strict singular characteristics.  We proved the solution of generalized characteristics can be constructed in an intrinsic way using the idea of minimizing movements and certain process of homogenization. Moreover, the relation between the strict singular characteristics and the EDI-EVI frame of gradient flow was also discussed.  In general, these results bridge various different topics.This talk is based on our latest work with Piermarco Cannarsa, Jiahui Hong, Kaizhi Wang and Tianqi Shi.

报告六

题目：时空上类时 Eikonal 方程的整体粘性解

报告人：崔小军 (南京大学)

时间：11月11日15:50- 16:30

地点：法学院B105

摘要:我们讨论两类时空(二维 Class A 环面；全局双曲时空)上类时 Eikonal 方程的整体粘性解的构造和相应的弱 KAM 理论。我们也将分析此时粘性解和正定情形下的不同之处。

报告七

题目：Lyapunov exponents for typical cocycles

报告人：邹瑞 (南京信息工程大学)

时间：11月11日16:35- 17:15

地点：法学院B105

摘要: In this talk, we will discuss the aboundance of Lyaponov irregular points for Banach cocycles and the uniformity of Lyapunov exponents for typical matrix cocycles.

报告八

题目：Prevalent periodic maximization over an expanding circle map

报告人：沈维孝 (复旦大学)

时间：11月12日09:00-09:40

地点：法学院B105

摘要：I will discuss a joint work with Rui Gao (in progress), where we study the ergodic optimization problem over a real analytic expanding circle map T. Let M be the set of T-invariant Borel probability measures on the unit circle. For a continuous real valued function f defined on the unit circle, a measure µ0is called maximal if ∫ fdµ takes its maximum at µ = µ0.We shall show that for a typical (in both topological and measure-theoretical sense) real analytic performance function f , there is a unique maximizing measure and the measure is supported on a periodic orbit.

报告九

题目：接触系统的 Aubry-Mather 理论

报告人：严军 (复旦大学)

时间：11月12日10:05- 10:45

地点：法学院B105

摘要：本报告中我们将讨论接触Hamilton动力系统中各类作用量极小集的存在性，及之间的渐进轨道。

报告十

题目：可测流系统的一些多重遍历平均收敛结果

报告人：张国华(复旦大学)

时间：11月12日10:50- 11:30

地点：法学院B105

摘要：Since von Neumann studied the well-known Banach-Tarski paradox in 1929, till now there are many characterizations for amenable groups.In this talk  I will report a new characterization of countable amenable groups from the viewpoint of dynamical system.Namely we introduce a new concept called multiorder,and prove that a countable group G is amenable if and only if there exists a multiorder on G. I will also discuss briefly some applications of this new characterization.The talk is based on joint works with  Downarowicz,Huczek,Oprocha and Wiecek.

报告十一

题目：On Bronstein-Ellis-Veech Theorem

报告人：代雄平 (南京大学)

时间：11月12日14:00- 14:40

地点：法学院B105

报告十二

题目：Entropy Degeneracy and Measure Degeneracy for Flows with Fixed Point

报告人：窦斗 (南京大学)

时间：11月12日14:45- 15:25

地点：法学院B105

摘要：零熵系统具有多层次的复杂性和多样的动力学行为，一直广受关注。本报告中我们将介绍零熵系统中熵型不变量理论的相关研究进展。

邀请人：赵云