Hölder Continuous Derivatives and Ergodic Theory

DOI10.1112/jlms/s2-22.3.506zbMath0459.28022OpenAlexW1979211584MaRDI QIDQ3909267

Sherman Wong

Publication date: 1980

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-22.3.506

zbMATH Keywords

invariant measuresPerron-Frobenius operatordynamical systemabsolutely continuousLorenz attractorBernoullinessergodic measuresinterval mappings with piecewise Hölder derivatives

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (6)

Transitivity and invariant measures for the geometric model of the Lorenz equations ⋮ θ-transformations, θ-shifts and limit theorems for some Riesz-Raikov sums ⋮ On infinitely cohomologous to zero observables ⋮ Alternative proofs of linear response for piecewise expanding unimodal maps ⋮ Law of iterated logarithm and invariance principle for one-parameter families of interval maps ⋮ Generalized bounded variation and applications to piecewise monotonic transformations

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