天元讲堂(12.6)INDUCING SCHEMES AND THEIR ROLE IN THERMODYNAMICS
题目:INDUCING SCHEMES AND THEIR ROLE IN THERMODYNAMICS
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., constructedequilibrium measures for a broad class of potentials. Particular examples of maps admitting induc- ing schemes of hyperbolic type include: the H ́enon map atfirst 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 andto 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.