title: 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.
authors.affiliation: Department of Physics, Brown University, Providence, Rhode Island 02912, USA. zack@het.brown.edu
authors.forename: Zachary
authors.initials: Z
authors.lastname: Guralnik
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*