Generalized baker's transformations

DOI10.1017/S0143385700004788zbMath0651.28011MaRDI QIDQ3795927

Christopher J. Bose

Publication date: 1989

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

natural extensionHölder continuous functionsBernoulli shiftsergodic automorphismcutting functionsgeneralized Baker's transformationspiecewise monotone mapping of the unit interval

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05)

Related Items (6)

Chaotic attractors of a locally conservative hyperbolic map with overlap ⋮ A \(C^ 1\)-expanding map on the circle which is not weak-mixing ⋮ Natural extensions for piecewise affine maps via Hofbauer towers ⋮ Mixing examples in the class of piecewise monotone and continuous maps of the unit interval ⋮ POLYNOMIAL DECAY OF CORRELATIONS IN THE GENERALIZED BAKER'S TRANSFORMATION ⋮ First hyperbolic times for intermittent maps with unbounded derivative

Cites Work

• Bernoulli maps of the interval
• On isomorphism of weak Bernoulli transformations
• Two Bernoulli shifts with infinite entropy are isomorphic
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Exact endomorphisms of a Lebesgue space
• On Entropy and Generators of Measure-Preserving Transformations

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