3 papers
math.DS2024
Skew-product systems over infinite interval exchange transformations
Henk Bruin, Olga Lukina
We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of -extensions over infinite interval exchange transfo…
math.DS2021
Rotated Odometers and Actions on Rooted Trees
Henk Bruin, Olga Lukina
A rotated odometer is an infinite interval exchange transformation (IET) obtained as a composition of the von Neumann-Kakutani map and a finite IET of intervals of equal length. In…
math.DS2021
Rotated Odometers
Henk Bruin, Olga Lukina
We describe the infinite interval exchange transformations, called the rotated odometers, that are obtained as compositions of finite interval exchange transformations and the von…