2 papers
math.NT2009
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).
math.DS2009
On two recurrence problems
Michael Boshernitzan, Eli Glasner
We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincare and Birkhoff recurrenc…