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