3 papers
math.CO2025
The VC-dimension of random subsets of finite groups
Brad Rodgers, Anurag Sahay
For a random subset of a finite group of cardinality , we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph)…
math.NT2024
Large prime factors of well-distributed sequences
Abhishek Bharadwaj, Brad Rodgers
We study the distribution of large prime factors of a random element of arithmetic sequences satisfying simple regularity and equidistribution properties. We show that if such…
math.NT2023
On convergence of points to limiting processes, with an application to zeta zeros
Juan Arias de Reyna, Brad Rodgers
This paper considers sequences of points on the real line which have been randomly translated, and provides conditions under which various notions of convergence to a limiting poin…