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

FINITE FIELDS AND THEIR APPLICATIONS（2023）

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摘要

A variant of the Bourgain-Gamburd machine without using any girth bounds is obtained. Also, we find series of appli-cations of the Bourgain-Gamburd machine to problems of Additive Combinatorics, Number Theory and Probability.(c) 2023 Elsevier Inc. All rights reserved.

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关键词

Growth in groups,Modular hyperbolae,Continued fractions,Quadratic residues

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