Abstract
Let p ≤ ½ and let μp be the product measure on {0,1}n, where μp(x) = p∑xi (1 − p)n − ∑xi. Let A ⊂ {0,1}n be an intersecting family, i.e., for every x, y ∈ A there exists 1 ≤ i ≤ n such that xi = yi = 1. Then μp(A) ≤ p. The proof uses discrete harmonic analysis.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.