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 |
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| Seminar: | Center for Dynamics and Geometry Seminar |
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| Speaker: | Vaughn Climenhaga, PSU |
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| Abstract: |
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| 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 |
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| Date: | 02 / 22 / 2010 |
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| Time: | 03:30pm - 05:30pm |
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