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arXiv · 2111.05751

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

Ilya D. Shkredov
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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.

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Ilya D. Shkredov. 2021-11-10. On a girth-free variant of the Bourgain-Gamburd machine. https://arxiv.org/abs/2111.05751

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