Seminari di Sistemi Dinamici Olomorfi 2013-2014
timetable:
Tue 4 Feb, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
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seminar: On the refined shrinking target property of rotations
speaker: Dong Han Kim (Dongguk University)abstract:
We discuss the shrinking target property of irrational rotations. Suppose that $varphi(n)$ is a monotone increasing
function such that $sumn 1(nvarphi(n))$ diverges. We obtain the condition of an irrational $theta$ and monotone
increasing $varphi(n)$ such that $$ liminf{n to infty} n varphi (n)
ntheta - s
= 0 text{ for almost
every } s. $$ We also consider the class of irrationals for which the limit inferior is 0 for every monotone
increasing $varphi(n)$ such that $sumn 1(nvarphi(n))$ diverges.
timetable:
Tue 4 Feb, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
<< Go back