Abstract
We construct a Lebesgue measure preserving natural extension of a skew product system related to the random β-transformation K β . This allows us to give a formula for the density of the absolutely continuous invariant probability measure of K β , answering a question of Dajani and de Vries, and also to evaluate some estimates on the typical branching rate of the set of β-expansions of a real number.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
