Ohio State is in the process of revising websites and program materials to accurately reflect compliance with the law. While this work occurs, language referencing protected class status or other activities prohibited by Ohio Senate Bill 1 may still appear in some places. However, all programs and activities are being administered in compliance with federal and state law.

Ergodic Theory / Probability Seminar - Clark Butler

Ergodic Theory/Probability Seminar
September 5, 2019
3:00 pm - 4:00 pm
Math Tower 154

Title: Global rigidity of the periodic Lyapunov spectrum for geodesic flows of negatively curved locally symmetric spaces

Speaker: Clark Butler, Princeton

Abstract: We show that if a smooth Anosov flow f^{t} is orbit equivalent to the geodesic flow g^{t} of a negatively curved locally symmetric space X of dimension at least three and the Lyapunov spectra of the flow f^{t} at all periodic points are multiples of the corresponding Lyapunov spectra of g^{t} then f^{t} is smoothly orbit equivalent to g^{t}. If f^{t} is itself the geodesic flow of a negatively curved space Y then we further conclude that Y is homothetic to X. We deduce the Mostow rigidity theorem as a corollary.

Events Filters:

Seminar - Ergodic Theory/Probability