A DISTRIBUTION ON TRIPLES WITH MAXIMUM ENTROPY MARGINAL

DOI10.1017/fms.2019.47zbMath1452.11018arXiv1608.00243OpenAlexW2499901585MaRDI QIDQ5204972

Serguei Norine

Publication date: 10 December 2019

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.00243

zbMATH Keywords

arithmetic progressionsadditive combinatoricsdiscrete non-negative integer-valued distributionstri-colored sum-free setsCroot-Lev-Pach polynomial method

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20) Additive bases, including sumsets (11B13) Arithmetic progressions (11B25) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (5)

Popular progression differences in vector spaces II ⋮ Removal lemmas and approximate homomorphisms ⋮ New applications of the polynomial method: The cap set conjecture and beyond ⋮ On arithmetic progressions in symmetric sets in finite field model ⋮ The asymptotic induced matching number of hypergraphs: balanced binary strings

Cites Work

• Progression-free sets in \(\mathbb{Z}_4^n\) are exponentially small
• On large subsets of \(\mathbb{F}_q^n\) with no three-term arithmetic progression
• A tight bound for Green's arithmetic triangle removal lemma in vector spaces
• On cap sets and the group-theoretic approach to matrix multiplication
• The growth rate of tri-colored sum-free sets
• Proof of a conjecture of Kleinberg-Sawin-Speyer

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