0 Ju n 20 03 LYAPUNOV EXPONENTS , PATH - INTEGRALS AND FORMS
نویسندگان
چکیده
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 Hamil-tonian, in the deterministic case, coincides with the Lie-derivative of the associated Hamil-tonian 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.
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