 

Joanna Furno
Singular padic transformations for Bernoulli product measures view print


Published: 
August 30, 2014 
Keywords: 
padic dynamics; nonsingular transformations 
Subject: 
37A40, 37P05 


Abstract
Ergodic properties of padic transformations have been studied
with respect to Haar measure. This paper extends the study of these
properties to measures beyond Haar measure. Under these measures,
coefficients do not appear in equal proportions. Adding a rational
number that is not an integer then takes likely strings of coefficients
to one of two unlikely strings of coefficients. It follows from
this inequality that translation by a rational number other than an
integer is singular with respect to these measures. Conjugation
gives similar results for multiplication by rational numbers.


Author information
Department of Mathematics and Computer Science, Wesleyan University, 45 Wyllys Avenue, Middletown, CT 06459
jfurno@wesleyan.edu

