科研动态
科研动态
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报告人:Zelerowicz Agnieszka (Pennsylvania State University)
时间:2018年12月6日上午9:00-10:00
地点: 数学楼三楼307教室
摘要:In this talk I will focus on systems which display certain hyperbolic features.  Inspired by the work of Lai-Sang Young ’98 on constructing SRB measures, 
Pesin, Senti, and Zhang ’16 introduced maps with inducing schemes of hyperbolic type and effected thermodynamical formalism for such maps, i.e., constructed 
equilibrium measures for a broad class of potentials. Particular examples of maps admitting induc- ing schemes of hyperbolic type include: the H ́enon map at 
first bifurcation, the Katok map, and a slow-down of a classical Smale-Williams solenoid. The aim of this talk is to present a comprehensive view on the subject and 
to describe some new results regarding ergodic properties of such systems, such as decay of correlations, the Central Limit Theorem, the Bernoulli property, etc. 
This is a joint work with Farruh Shahidi.


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