For more information about this meeting, contact Anatole Katok, Hope Shaffer, 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|
|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
|Date:||02 / 22 / 2010|
|Time:||03:30pm - 05:30pm|