English

Monotone expansion

Combinatorics 2011-08-15 v1 Group Theory

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).

Cite

@article{arxiv.1108.2555,
  title  = {Monotone expansion},
  author = {Jean Bourgain and Amir Yehudayoff},
  journal= {arXiv preprint arXiv:1108.2555},
  year   = {2011}
}

Comments

37 pages

R2 v1 2026-06-21T18:49:38.657Z