## QLA2018 General Seminar Series: Quantitative Additive Energy Estimates for Regular Sets and Connections to Discretized Sum-Product Theorems

#### Laura CladekUniversity of California, Los Angeles (UCLA)Mathematics

We prove new quantitative additive energy estimates for a large class of
porous measures which include, for example, all Hausdorff measures of
Ahlfors-David subsets of the real line of dimension strictly between 0
and 1. We are able to obtain improved quantitative results over existing
additive energy bounds for Ahlfors-David sets by avoiding the use of