6 citations · 8 across the 5 of their papers we have counts for
5 papers
On the Frequency of Balanced Times in Cylinder Flows
Jon Chaika, David Ralston
Given an irrational alpha and an x in the unit interval, the set of balanced times, for which the same number of (k*alpha+x) (modulo one) are less than or equal to one half as are…
The densest sequence in the unit circle
Michael Boshernitzan, Jon Chaika
We exhibit the densest sequence on the unit circle R/Z, x_k= log(2k-1)/log(2) (mod 1).
[0,1] is not a Minimality Detector for [0,1]^2
Jon Chaika
This paper shows that there exists a non-minimal sequence such that for any continuous function , the sequence obtained by…
Schrödinger Operators Defined by Interval Exchange Transformations
Jon Chaika, David Damanik, Helge Krueger
We discuss discrete one-dimensional Schrödinger operators whose potentials are generated by an invertible ergodic transformation of a compact metric space and a continuous real-val…
Hausdorff dimension for ergodic measures of interval exchange transformations
Jon Chaika
I show that there exist minimal interval exchange transformations with an ergodic measure whose Hausdorff dimension is arbitrarily small, even 0. I will also show that in particula…