Statistical-mechanical formulation of Lyapunov exponents

Abstract

We show how the Lyapunov exponents of a dynamic system can in general be expressed in terms of the free energy of a (non-Hermitian) quantum many-body problem. This puts their study as a problem of statistical mechanics, whose intuitive concepts and techniques of approximation can hence be borrowed.

arXiv comment10 pages, 3 figures, RevTex4

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• Three Approaches to Classical Thermal Field Theory
• Stochastic Processes, Slaves and Supersymmetry
• Diagrammar In Classical Scalar Field Theory
• Equilibrium statistics of a slave estimator in Langevin processes
• Quantum Kolmogorov-Sinai entropy and Pesin relation