Which Bernoulli measures are good measures?
Volume 110 / 2008
Colloquium Mathematicum 110 (2008), 243-291
MSC: Primary 37B05; Secondary 28D05, 28C10.
DOI: 10.4064/cm110-2-2
Abstract
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.
