Gaurav Aggarwal

Cone upgrade for effective equidistribution and weighted Khintchine--Schmidt theorem on fractals

We prove a fractal analogue of the weighted theorems of Khintchine and Schmidt for products of self-similar measures on the real line whose defining iterated function systems share a common contraction ratio. The proof translates the counting problem into homogeneous dynamics and builds on recent work of B\'enard, He a...