Dynamics seminar: Erez Nesharim: Badly approximable vectors in fractals

Tue, 07/03/201714:00-15:00
In ergodic dynamical systems almost every point is generic. Many times it is interesting to understand how large is the set of non-generic points. In this talk I will present a criterion for a set to have a nonempty intersection with every “regular fractal". We then apply this criterion to
show that the set of badly approximable vectors with weights intersects every regular fractal, and put it in the context of diagonalizable actions on homogeneous spaces. 
This talk is based on a joint work with Dzmitry Badziahin, Stephen Harrap and David Simmons.