Lyaupunov Exponents, Path-Integrals and Forms
Abstract
Description
In this paper we use a path-integral approach to represent the Lyapunov exponents of both deterministic and stochastic dynamical systems. In both cases the relevant correlation functions are obtained from a (one-dimensional) supersymmetric field theory whose Hamiltonian, in the deterministic case, coincides with the Lie-derivative of the associated Hamiltonian flow. The generalized Lyapunov exponents turn out to be related to the partition functions of the respective super-Hamiltonian restricted to the spaces of fixed form-degree.
TeX file with phyzzx macro, 37 pages, no figures
TeX file with phyzzx macro, 37 pages, no figures