3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2024
Odometers in non-compact spaces
Godofredo Iommi, Mario Ponce
We define an odometer in the Baire space. That is the non-compact space of one sided sequences of natural numbers. We go on to prove that it is topologically conjugated to the dyad…
math.DS2023
Odometers, Backward continued fractions and counting rationals
Godofredo Iommi, Mario Ponce
It has been more than twenty years since Moshe Newman, based on work by Neil Calkin and Herbert Wilf, introduced an explicit bijection between the rational and natural numbers. Int…
math.DS2011★ 3 cited
On bounded cocycles of isometries over a minimal dynamics
D. Coronel, A. Navas, M. Ponce
We show the following geometric generalization of a classical theorem of W.H. Gottschalk and G.A. Hedlund: a skew action induced by a cocycle of (affine) isometries of a Hilbert sp…