PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Anatole Katok, Hope Shaffer, Mari Royer, Yakov Pesin, Dmitri Burago.

Title:Multifractals, dimension theory, and thermodynamics for general dynamical systems
Seminar:Center for Dynamics and Geometry Seminars
Speaker:Vaughn Climenhaga, PSU
Abstract:
Level sets of asymptotic quantites -- Birkhoff averages, Lyapunov exponent, pointwise dimension -- encode information about a dynamical system in various multifractal spectra. These spectra are difficult to compute directly, but can in many cases be obtained from thermodynamic information via a Legendre transform. We give general results in this direction for the Birkhoff spectrum of both continuous and discontinuous observables. For conformal systems without critical points, we use a non-uniform version of Bowen's equation to give results for the Lyapunov spectrum and for the dimension spectrum of a weak Gibbs measure.

Room Reservation Information

Room Number:MB106
Date:02 / 22 / 2010
Time:03:30pm - 05:30pm