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arXiv:1108.2555math.CO

Monotone expansion

Jean Bourgain, Amir Yehudayoff

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Abstract

This work, following the outline set in [B2], presents an explicit construction of a family of monotone expanders. The family is essentially defined by the Mobius action of SL_2(R) on the real line. For the proof, we show a product-growth theorem for SL_2(R).

arXiv comments
37 pages
Journal reference
DOI
Subjects
math.COCombinatorics math.GRGroup Theory

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