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arXiv · 0804.3793

Exact Statistics of Chaotic Dynamical Systems

Zachary Guralnik
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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.

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Zachary Guralnik. 2008-04-23. Exact Statistics of Chaotic Dynamical Systems. https://doi.org/10.1063/1.2960541

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