paper

On a girth-free variant of the Bourgain-Gamburd machine

arXiv:2111.05751

Abstract

A variant of the Bourgain-Gamburd machine without using any girth bounds is obtained. Also, we find series of applications of %our result the Bourgain-Gamburd machine to problems of Additive Combinatorics, Number Theory and Probability.

arXiv comment23 pages