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On Sharp Thresholds of Monotone Properties: Bourgain's Proof Revisited

Probability 2013-02-07 v2 Combinatorics

Abstract

The purpose of this expository note is to give the proof of a theorem of Bourgain with some additional details and updated notation. The theorem first appeared as an appendix to the breakthrough paper by Friedgut, \emph{Sharp Thresholds of graph properties and the kk-SAT Problem}. Throughout, we use notation and definitions akin to those in O'Donnell's book, \emph{Analysis of Boolean Functions}.

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Cite

@article{arxiv.1302.1162,
  title  = {On Sharp Thresholds of Monotone Properties: Bourgain's Proof Revisited},
  author = {Deepak Bal},
  journal= {arXiv preprint arXiv:1302.1162},
  year   = {2013}
}

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10 pages