Which Bernoulli measures are good measures?

Ethan Akin; Randall Dougherty; R. Daniel Mauldin; Andrew Yingst

Colloquium Mathematicae (2008)

  • Volume: 110, Issue: 2, page 243-291
  • ISSN: 0010-1354

Abstract

top
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.

How to cite

top

Ethan Akin, et al. "Which Bernoulli measures are good measures?." Colloquium Mathematicae 110.2 (2008): 243-291. <http://eudml.org/doc/283691>.

@article{EthanAkin2008,
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.},
author = {Ethan Akin, Randall Dougherty, R. Daniel Mauldin, Andrew Yingst},
journal = {Colloquium Mathematicae},
keywords = {Bernoulli measure; Cantor space measure; clopen values set; uniquely ergodic},
language = {eng},
number = {2},
pages = {243-291},
title = {Which Bernoulli measures are good measures?},
url = {http://eudml.org/doc/283691},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Ethan Akin
AU - Randall Dougherty
AU - R. Daniel Mauldin
AU - Andrew Yingst
TI - Which Bernoulli measures are good measures?
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 243
EP - 291
AB - 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.
LA - eng
KW - Bernoulli measure; Cantor space measure; clopen values set; uniquely ergodic
UR - http://eudml.org/doc/283691
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.