报告人  Mark Pollicott（University of Warwick）


Lecture 1:  Introduction, Definitions and Statements.

报告时间：2019年3月18日(周一) 下午 13:10-15:10

报告地点：精正楼二楼学术报告厅

摘要：Definitions of Hyperbolic flows, Axiom A flows, Anosov flows, and geodesic flows.  
Topological entropy and its smooth dependence. 
SRB and Gibbs measures.  
Distributions of closed orbits and unstable manifolds. 
Rates of mixing and decay of correlations. 
Statistical Properties.

Lecture 2:  Different Approaches and Tools.


报告时间：2019年3月19日(周二) 上午 09:30-11:30

报告地点：精正楼二楼学术报告厅

摘要 Symbolic dynamics, subshifts of finite type and suspension flows and semi-flows.  
Transfer operators and spectral properties.  
Anisotropic spaces. 
Zeta functions, Tauberian Theorems, counting theorems and Error terms.   
Correlation functions, Laplace transforms and resonances. 


Lecture 3:  Generalizations and future perspectives.


报告时间：2019年3月20日(周三) 上午 10:10-12:00

报告地点：精正楼二楼学术报告厅

摘要 Limit sets and Apollonian Circle packs.  
Countable state subshifts of finite type. 
Frame flows and compact group extensions.  
Infinite covers of flows.
Singular flows, Dispersive Billiards, Teichmuller and Weil-Petersson Geodesic flows.