Geodesic
Which Bernoulli measures are good measures?
Ethan Akin 1   ; Randall Dougherty 2   ; R. Daniel Mauldin 3   ; Andrew Yingst 4
1 Mathematics Department The City College 137 Street and Convent Avenue New York City, NY 10031, U.S.A.
2 IDA Center for Communications Research 4320 Westerra Ct. San Diego, CA 92121, U.S.A.
3 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203, U.S.A.
4 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A.
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 243-291 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm110-2-2
Keywords: measures cantor space demand measure useful homogeneity condition examine question bernoulli measure sequence space alphabet size complete answers given cases rational cases partial results obtained general cases

Ethan Akin  1   ; Randall Dougherty  2   ; R. Daniel Mauldin  3   ; Andrew Yingst  4

1 Mathematics Department The City College 137 Street and Convent Avenue New York City, NY 10031, U.S.A.
2 IDA Center for Communications Research 4320 Westerra Ct. San Diego, CA 92121, U.S.A.
3 Department of Mathematics University of North Texas P.O. Box 311430 Denton, TX 76203, U.S.A.
4 Department of Mathematics University of South Carolina Columbia, SC 29208, U.S.A. 
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Ethan Akin; Randall Dougherty; R. Daniel Mauldin; Andrew Yingst. Which Bernoulli measures are good measures?. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 243-291. doi: 10.4064/cm110-2-2

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