Statistical-mechanical formulation of Lyapunov exponents
arXiv:cond-mat/0210380 · doi:10.1088/0305-4470/36/41/004
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.
10 pages, 3 figures, RevTex4