Which Bernoulli measures are good measures?

• Autorzy: Ethan Akin , Randall Dougherty , R. Daniel Mauldin , Andrew Yingst
• Języki publikacji: EN

Abstrakty

EN

For measures on a Cantor space, the demand that the measure be "good" is a useful homogeneity condition. We examine the question of when a Bernoulli measure on the sequence space for an alphabet of size n is good. Complete answers are given for the n = 2 cases and the rational cases. Partial results are obtained for the general cases.

Kategorie tematyczne

• 28C10: Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
• 28D05: Measure-preserving transformations
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 243-291

Daty

wydano

2008

Twórcy

autor

Ethan Akin

• Mathematics Department, The City College, 137 Street and Convent Avenue, New York City, NY 10031, U.S.A.

autor

Randall Dougherty

• IDA Center for Communications Research, 4320 Westerra Ct., San Diego, CA 92121, U.S.A.

autor

R. Daniel Mauldin

• Department of Mathematics, University of North Texas, P.O. Box 311430, Denton, TX 76203, U.S.A.

autor

Andrew Yingst

• Department of Mathematics, University of South Carolina, Columbia, SC 29208, U.S.A.

Identyfikatory

DOI

10.4064/cm110-2-2