The 123 theorem and its extensions

DOI10.1016/0097-3165(95)90071-3zbMath0834.60015OpenAlexW2061500374MaRDI QIDQ1903015

Noga Alon, Raphael Yuster

Publication date: 1 February 1996

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90071-3

zbMATH Keywords

inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05)

Related Items (max. 100)

Level crossing probabilities. I: One-dimensional random walks and symmetrization ⋮ A note on distribution-free symmetrization inequalities ⋮ The 123 theorem of probability theory and copositive matrices ⋮ A sharp estimate for probability distributions ⋮ A Combinatorial Approach to Small Ball Inequalities for Sums and Differences ⋮ Mean and minimum of independent random variables ⋮ Three convolution inequalities on the real line with connections to additive combinatorics

Cites Work

• New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
• The Problem of the Thirteen Spheres
• EXTREMAL ESTIMATES OF PROBABILITY MEASURES AND THEIR COMBINATORIAL NATURE
• Geometrical Extrema Suggested by a Lemma of Besicovitch
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