Invariants for finitary isomorphisms with finite expected code lengths

DOI10.1007/BF01388489zbMath0563.28009OpenAlexW2024538061MaRDI QIDQ1057381

Klaus Schmidt

Publication date: 1984

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143114

zbMATH Keywords

Markov shiftsBernoulli shiftsbeta-functioninvariant of codes with finite expected code length and inverse code length

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20)

Related Items (17)

Hyperbolic structure preserving isomorphisms of Markov shifts. II ⋮ Bounds in polynomial rings over Artinian local rings ⋮ An information cocycle for groups of non-singular transformations ⋮ The mathematical research of William Parry FRS ⋮ On automorphisms of von Neumann algebras constructed by measure space transformations. II ⋮ Markov measures determine the zeta function ⋮ On Automorphisms of Markov Chains ⋮ The weight-per-symbol polytope and scaffolds of invariants associated with Markov chains ⋮ An invariant of finitary codes with finite expected square root coding length ⋮ Matrices of Polynomials, Positivity, and Finite Equivalence of Markov Chains ⋮ Almost isomorphism for countable state Markov shifts ⋮ Generating stationary random graphs on ℤ with prescribed independent, identically distributed degrees ⋮ Hyperbolic structure preserving isomorphisms of Markov shifts ⋮ Finitary codings for spatial mixing Markov random fields ⋮ Powers of positive polynomials and codings of Markov chains onto Bernoulli shifts ⋮ Unnamed Item ⋮ Constructing finitary isomorphisms with finite expected coding times

Cites Work

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• Natural coefficients and invariants for Markov-shifts
• Finitary isomorphisms of irreducible Markov shifts
• Conditional pressure and coding
• On the finitary isomorphisms of markov shifts that have finite expected coding time
• Finitary Isomorphisms with Finite Expected Code Lengths

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