Transfer operators and limit laws for typical cocycles

Date. October 09, 14h00m (UTC/GMT+1)

Speaker. Kiho Park (University of Chicago)

Title. Transfer operators and limit laws for typical cocycles

Abstract.

We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts of finite type obey several limit laws with respect to the unique equilibrium states for H\”older potentials. These include the central limit theorem and the large deviation principle. We also establish the analytic dependence of the top Lyapunov exponent on the underlying equilibrium state. The transfer operator and its spectral properties play key roles in establishing these limit laws.

 

Online Zoom meeting (Session will open some minutes before 14h00)

https://videoconf-colibri.zoom.us/j/97441621874?pwd=bmJrRGJzNEtFNUFxcWpwMVNmMEpRUT09

Meeting ID: 974 4162 1874

Password: 065518

Date and Venue

Start Date
Venue
Online seminar

Speaker

Kiho Park

Speaker's Institution

University of Chicago

Area

Dynamical Systems