Exact Statistics of Chaotic Dynamical Systems

Abstract

We present an inverse method to construct large classes of chaotic invariant sets together with their exact statistics. The associated dynamical systems are characterized by a probability distribution and a two-form. While our emphasis is on classical systems, we briefly speculate about possible applications to quantum field theory, in the context of generalizations of stochastic quantization.

18 pages, 5 figures

References in corpus (1)

• Complex Langevin Equations and Schwinger-Dyson Equations

Cited by in corpus (3)

• Effective phase description of noise-perturbed and noise-induced oscillations
• On the Asymptotics of the Hopf Characteristic Function
• On exact statistics and classification of ergodic systems of integer dimension