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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-2, author = {Ethan Akin and Randall Dougherty and R. Daniel Mauldin and Andrew Yingst}, title = {Which Bernoulli measures are good measures?}, journal = {Colloquium Mathematicae}, volume = {111}, year = {2008}, pages = {243-291}, zbl = {1151.37011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-2} }
Ethan Akin; Randall Dougherty; R. Daniel Mauldin; Andrew Yingst. Which Bernoulli measures are good measures?. Colloquium Mathematicae, Tome 111 (2008) pp. 243-291. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm110-2-2/