Dynamics seminar : Michael Bersudsky (Technion) "Equidistribution of the image in the torus of sparse points on dilating analytic curves"

Date:
Tue, 19/05/202014:00-15:00

Title: Equidistribution of the image in the torus of sparse points on dilating analytic curves

Abstract: It is known that under mild assumptions, the image in the d-torus of dilating analytic curves in Rd" role="presentation">RdRdR^d equidistributes. I will discuss a sparse version of this phenomenon. As a particular example, let {rn" role="presentation">rnrnr_n} be a sequence of radii, fix an angle in the unit circle and consider the uniform probability counting measures supported on the projection to the 2-torus of the n'th roots of unity in the plane dilated by a factor of rn" role="presentation">rnrnr_n and rotated by this angle. I will talk about the following three types of results:
1. If rn" role="presentation">rnrn