An Alpern tower independent of a given partition

• Autorzy: James T. Campbell , Jared T. Collins , Steven Kalikow , Raena King , Randall McCutcheon
• Języki publikacji: EN

Abstrakty

EN

Given a measure-preserving transformation T of a probability space (X,ℬ,μ) and a finite measurable partition ℙ of X, we show how to construct an Alpern tower of any height whose base is independent of the partition ℙ. That is, given N ∈ ℕ, there exists a Rokhlin tower of height N, with base B and error set E, such that B is independent of ℙ, and TE ⊂ B.

Kategorie tematyczne

• 37M25: Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy)
• 60A10: Probabilistic measure theory
• 28D05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 119-124

Daty

wydano

2015

Twórcy

autor

James T. Campbell

• Department of Mathematical Sciences, University of Memphis, Dunn Hall 373, Memphis, TN 38152, U.S.A.

autor

Jared T. Collins

• Department of Mathematics and Computer Science, Freed-Hardeman University, Henderson, TN 38340, U.S.A.

autor

Steven Kalikow

• Department of Mathematical Sciences, University of Memphis, Dunn Hall 373, Memphis, TN 38152, U.S.A.

autor

Raena King

• Department of Mathematics and Computer Science, Christian Brothers University, Memphis, TN 38104, U.S.A.

autor

Randall McCutcheon

• Department of Mathematical Sciences, University of Memphis, Dunn Hall 373, Memphis, TN 38152, U.S.A.

Identyfikatory

DOI

10.4064/cm141-1-10