A continuous variant of the inverse Littlewood-Offord problem for quadratic forms

zbMATH Open1317.11021arXiv1105.5733MaRDI QIDQ5499930

Hoi Nguyen

Publication date: 5 August 2015

Abstract: Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures.

Full work available at URL: https://arxiv.org/abs/1105.5733

zbMATH Keywords

quadratic formsconcentration probabilitygeneralized arithmetic progression

Mathematics Subject Classification ID

Combinatorial probability (60C05) Arithmetic progressions (11B25)

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An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs

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