报告地点:行健楼学术活动室526
邀请人:陈二才教授
摘要: We will present a thermodynamical formalism in order to give a multifractal analysis of weighted Birkhoff averages. The computation of multifractal spectrum leads us to give a study of Lyapounov exponent of infinite product of matrices. If the matrices are selected from a finite number of matrices and one of them is of rank 1 we get a closed formula for the Lyapounov exponent.
报告人简介:范爱华,法国Picardie大学特级教授,武汉大学特聘教授。博士毕业于法国南巴黎大学(现为University of Paris-Saclay)。曾任长江学者特聘教授(武汉大学),国家级重大人才项目特聘教授(华中师范大学), Wallenberg访问教授 (瑞典隆德大学)。曾获国家基金委海外合作基金(中科院数学所)。主要研究方向:动力系统与遍历理论,傅立叶分析,几何测度论,概率论与随机混沌等。