Weighted Inhomogeneous Bad is Winning and Null

Abstract: We will introduce the notion of inhomogeneous weighted badly approximable vectors. We discuss that this set can be very large (winning) in a sense and in some other sense it is very small (measure wise). In particular, we talk about such largeness and smallness via studying weighted inhomogeneous bad intersected with manifolds and support of certain measures. This is a joint work with Shreyasi Datta.

dynamical systemsnumber theory

Audience: general audience

New England Dynamics and Number Theory Seminar