Speaker: Jim Tseng (Brandeis)
Title: The Shrinking Target Properties for Circle Rotations
Abstract: We give a necessary and sufficient condition for a circle rotation to have the s-exponent monotone shrinking target property (sMSTP), and, thereby we generalize a result for s = 1 that was established by J. Kurzweil and rediscovered by B. Fayad.
If there is sufficient time, we will apply our technique to give a new, very short, proof of the logarithm law for irrational rotations.