Minimal rates of entropy convergence for completely ergodic systems

DOI10.1007/BF02783038zbMath0939.37005OpenAlexW2083961799MaRDI QIDQ1282262

Frank Blume

Publication date: 6 July 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02783038

zbMATH Keywords

rank one transformationscompletely ergodicmeasure theoretic entropy

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Strong limit theorems (60F15) Ergodicity, mixing, rates of mixing (37A25) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (4)

On the relation between entropy convergence rates and Baire category ⋮ An entropy estimate for infinite interval exchange transformations ⋮ Slow entropy of some parabolic flows ⋮ Realizing subexponential entropy growth rates by cutting and stacking

Cites Work

• Cutting and stacking, interval exchanges and geometric models
• Minimal rates of entropy convergence for rank one systems.
• Possible rates of entropy convergence
• Cutting and stacking: a method for constructing stationary processes
• Universal redundancy rates do not exist
• Universal redundancy rates for the class of B-processes do not exist

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