Lyaupunov Exponents, Path-Integrals and Forms

E. Gozzi; M. Reuter

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arXiv · nlin/0306042

Lyaupunov Exponents, Path-Integrals and Forms

E. Gozzi·M. Reuter

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Abstract

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.

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E. Gozzi, M. Reuter. 2003-06-20. Lyaupunov Exponents, Path-Integrals and Forms. https://arxiv.org/abs/nlin/0306042

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