Exact Statistics of Chaotic Dynamical Systems

Details Exact Statistics of Chaotic Dynamical Systems Exact Statistics of Chaotic Dynamical Systems

2008-04-23

arxiv.org/abs/0804.3793v1

Nonlinear Sciences

Chaotic Dynamics

18 pages, 5 figures

Scientific paper

10.1063/1.2960541

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.

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