Ergodic properties of certain linear mod one transformations

DOI10.1016/0001-8708(74)90023-1zbMath0286.28009OpenAlexW1969472081MaRDI QIDQ1845973

Keith M. Wilkinson

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90023-1

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (6)

Unnamed Item ⋮ Joint ergodicity of piecewise monotone interval maps ⋮ Ergodic properties of a class of piecewise linear transformations ⋮ The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability ⋮ Mixing properties of (α,β)-expansions ⋮ From greedy to lazy expansions and their driving dynamics

Cites Work

• On isomorphism of weak Bernoulli transformations
• β-automorphisms are Bernoulli shifts
• On Rohlin's formula for entropy
• Representations for real numbers
• Exact endomorphisms of a Lebesgue space
• A number-theoretic class of weak Bernoulli transformations

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