学术报告:Large deviations type estimates for iterates of linear cocycles
发布时间:2017-09-14 浏览次数:

题目:Large deviations type estimates for iterates of linear cocycles

报告人:Silvius Klein

单位:Pontifical Catholic University of Rio de Janeiro, Brazil

时间:Sept.14, 2:00-3:00

地址:Lixue Building, Room B219

摘要:Studying statistical properties (such as certain types of concentration of measure bounds) of a dynamical system is an important problem in itself. When it comes to linear cocycles over a given base dynamics, this could also have important consequences on the regularity of the corresponding Lyapunov exponents regarded as functions of the cocycle. Furthermore, as important examples of linear cocycles arise in connection with solving the eigenvalue equation of a discrete Schrodinger operator, these types of properties are also crucial in the spectral theory of such operators from mathematical physics. In this talk I will describe these connections and some of the techniques used to establish such statistical properties for cocycles over a torus translation or over a Bernoulli shift.
(Joint work with Pedro Duarte, University of Lisbon, Portugal.)