A short proof of a conjecture of Erd\"os proved by Moreira, Richter and Robertson

DOI10.19086/DA.11129zbMath1433.05314arXiv1904.09952OpenAlexW2994662839MaRDI QIDQ5211018

Bernard Host

Publication date: 17 January 2020

Published in: discrete Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09952

zbMATH Keywords

sumsettopological dynamical systemErdős conjecturepositive densityergodic measureFølner sequence

Mathematics Subject Classification ID

Combinatorial probability (60C05) Ramsey theory (05D10) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30) Relations between ergodic theory and number theory (37A44)

Related Items (4)

Almost all sets of nonnegative integers and their small perturbations are not sumsets ⋮ Metric decomposability theorems on sets of integers ⋮ Infinite sumsets in sets with positive density ⋮ The largest $(k,\ell )$-sum-free subsets

Cites Work

• Uniformity seminorms on \(\ell^{\infty}\) and applications
• Pointwise theorems for amenable groups.
• Sets of Recurrence of Z^m -Actions and Properties of Sets of Differences in Z^m
• Nilpotent Structures in Ergodic Theory

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