Thermodynamics for geodesic flows of rank 1 surfaces
Keith Burns, Katrin Gelfert
TL;DR
This paper studies the spectrum of Lyapunov exponents associated with geodesic flows on compact rank 1 surfaces, providing insights into their dynamical stability and chaotic behavior.
Contribution
It offers a new analysis of Lyapunov spectra for rank 1 surfaces' geodesic flows, advancing understanding of their thermodynamic properties.
Findings
Characterization of Lyapunov exponent spectrum
Insights into stability of geodesic flows
Connections to thermodynamic formalism
Abstract
We investigate the spectrum of Lyapunov exponents for the geodesic flow of a compact rank 1 surface.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Chaos control and synchronization