EVENT DETAILS AND ABSTRACT

Title: Dimension growth of repeated convolutions of fractal measures
Speaker: Mike Hochman
Speaker Info: Princeton University
Brief Description:
Special Note:
Abstract:

I will discuss the growth of dimension of fractal sets and measures on R^d under repeated sumset and convolution operations, respectively. I will explain how suitable local non-degeneracy assumption imply that the dimension converges to d. The method yields rates given suitable initial data.