Statistical-mechanical formulation of Lyapunov exponents
classification
❄️ cond-mat.stat-mech
nlin.CD
keywords
exponentslyapunovproblemapproximationborrowedconceptsdynamicenergy
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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.
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