On a girth-free variant of the Bourgain-Gamburd machine
Number Theory
2021-11-11 v1 Combinatorics
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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Cite
@article{arxiv.2111.05751,
title = {On a girth-free variant of the Bourgain-Gamburd machine},
author = {Ilya D. Shkredov},
journal= {arXiv preprint arXiv:2111.05751},
year = {2021}
}
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23 pages