Ensembles quasi-ind\'ependants et ensembles de Sidon, th\'eorie de Bourgain (d'apr\`es Myriam D\'echamps, Li et Queffelec)

TL;DR

This paper explores the relationship between quasi-independent sets and Sidon sets, presenting Bourgain's approach and Pisier's theorems to deepen understanding of harmonic analysis structures.

Contribution

It provides an exposition of Bourgain's method connecting quasi-independent and Sidon sets, highlighting key theorems of Pisier in this context.

Findings

Clarifies the relation between quasi-independent and Sidon sets

Presents Bourgain's method for analyzing these sets

Summarizes Pisier's theorems relevant to the topic

Abstract

Exposition of the relation between quasi-independent and Sidon sets, theorems of Pisier according to the method of Bourgain