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arXiv · 1302.1162

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

Deepak Bal
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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 $k$-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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Deepak Bal. 2013-02-06. On Sharp Thresholds of Monotone Properties: Bourgain's Proof Revisited. https://arxiv.org/abs/1302.1162

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