Reversible Anosov diffeomorphisms and large deviations
Giovanni Gallavotti (Fisica, Roma)
TL;DR
This paper investigates the statistical properties of volume contraction in reversible Anosov diffeomorphisms, demonstrating that it follows a large deviation principle, which provides insights into the system's stability and ergodic behavior.
Contribution
It establishes a large deviation principle for volume contraction in reversible Anosov diffeomorphisms, a novel result in the study of dynamical systems.
Findings
Volume contraction obeys a large deviation rule
Provides a quantitative measure of stability in Anosov systems
Enhances understanding of ergodic properties in reversible systems
Abstract
The volume contraction obeys a large deviation rule.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Theoretical and Computational Physics