Universiteit Utrecht

Department of Mathematics


Asymptotic behaviors of the first return time of translations on a torus



Byoung Ki Seo (UU), 30 March 2005

We investigate asymptotic behaviors of the first return time of translations on a torus using Diophantine approximations. It is known that the first return time to an element of the equipartition equals to the 1 over the size of the element asymptotically for almost but not all irrational translation on a 1 dimensional unit interval. We expand the results to the case for an irrational translation on a multidimensional torus.


Back to the history of the seminar or the Colloquium Stochastiek homepage.
Erik Baurdoux