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math.DS2009★ 2 cited
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…
math.DS2009
[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…
math.DS2008
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…