Bourgain’s probabilistic argument on the Erd˝os similar problem
Date:
Wednesday, 7 August, 2024 - 14:00 - 15:00
Venue:
LSB 219
Seminar Type:
Analysis Seminar Talks-Mini workshop on Fractals and Related Topics
Speaker Name:
Prof. Ying Xiong
Affiliation:
South China University of Technology
Abstract:
Abstract: In early 1970’s, Erdo˝s proposed the similar problem: for any infinite set A ⊂ R, prove
that there exists a set E ⊂ R of positive Lebesgue measure such that aA + b /⊂ E for any a, b ∈ R.
In 1987, Bourgain proved this for any triple sum of infinite sets by using some probabilistic
argument. This talk will introduce some details of Bourgain’s argument.
Poster:
