NORMAL NUMBERS LINKED TO NONEQUIVALENT BA SES

Authors
BERTRANDMATHIS A
Citation
A. Bertrandmathis, NORMAL NUMBERS LINKED TO NONEQUIVALENT BA SES, Ergodic theory & dynamical systems, 18, 1998, pp. 89-93
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
Journal title
Ergodic theory & dynamical systems → ACNP
ISSN journal
01433857
Volume
18
Year of publication
1998
Part
1
Pages
89 - 93
Database
ISI
SICI code
0143-3857(1998)18:<89:NNLTNB>2.0.ZU;2-H
Abstract
For every Pisot number theta, and every real number beta greater than one not equivalent to theta, if mu is a Bernoulli measure relative to the theta-transformation, then for mu-almost all x the sequence (xB(n) )(n greater than or equal to 0) is uniformly distributed module one.