Exact Statistics of Chaotic Dynamical Systems
Chaotic Dynamics
2009-11-13 v1 Statistical Mechanics
High Energy Physics - Theory
Fluid Dynamics
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.
Cite
@article{arxiv.0804.3793,
title = {Exact Statistics of Chaotic Dynamical Systems},
author = {Zachary Guralnik},
journal= {arXiv preprint arXiv:0804.3793},
year = {2009}
}
Comments
18 pages, 5 figures