An entropy estimate for infinite interval exchange transformations

DOI10.1007/S00209-011-0919-2zbMath1261.37010OpenAlexW1978178416MaRDI QIDQ455620

Frank Blume

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0919-2

zbMATH Keywords

entropyinfinite interval-exchange mapminimal entropy growth rate

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems involving maps of the interval (37E05)

Related Items (3)

Slow entropy of some combinatorial constructions ⋮ Counterexamples to Ruelle's inequality in the noncompact case ⋮ Realizing subexponential entropy growth rates by cutting and stacking

Cites Work

• Unnamed Item
• On the relation between entropy convergence rates and Baire category
• Cutting and stacking, interval exchanges and geometric models
• Minimal rates of entropy convergence for completely ergodic systems
• Minimal rates of entropy convergence for rank one systems.
• Possible rates of entropy convergence
• Systems of finite rank
• Cutting and independent stacking of intervals

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