Ergodic properties of a class of skew-systems obtained by coupling the translation of the 1-torus with the endomorphism 2x mod (0,1(

DOI10.1088/0951-7715/7/4/002zbMath0809.58039OpenAlexW1990212175MaRDI QIDQ4304480

Publication date: 10 October 1994

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/4/002

zbMATH Keywords

ergodicity mixing integrable Hamiltonian systems skew product modulated diffusion

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Ergodic theory (37A99) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Coboundary equations of eventually expanding transformations ⋮ Density of nonzero exponent of contraction for pinching cocycles in Hom(S1) ⋮ A class of compact group extensions of \(\beta \)-transformations ⋮ Automorphisms of the Bernoulli endomorphism and a class of skew-products ⋮ Asymptotically Gaussian distribution for random perturbations of rotations of the circle ⋮ Statistical properties of skew-endomorphisms with Bernoulli base ⋮ Shift endomorphisms and compact Lie extensions

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