Speaker: 

Yuki Takahashi

Institution: 

UC Irvine

Time: 

Tuesday, May 2, 2017 - 1:00pm to 2:00pm

Location: 

RH 440R

We discuss an inverse theorem on the structure of pairs of discrete probability measures which has small amount of growth under convolution, and apply this result to self-similar sets with overlaps to show that if the dimension is less than the generic bound, then there are superexponentially close cylinders at all small enough scales. The results are by M.Hochman.