Estimates of correlation decay in auto/endomorphisms of the \(n\)-torus

DOI10.1016/S0898-1221(01)00210-3zbMath0982.37010MaRDI QIDQ5948851

Siboni, Stefano, Francesca Brini

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)

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Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers

Cites Work

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• Ergodic theory. Introductory lectures
• Diffusion on the torus for Hamiltonian maps
• Billiards correlation functions
• Decay of correlations for the automorphism of the torus
• Dynamical properties of quasihyperbolic toral automorphisms
• Similarity of automorphisms of the torus
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms