Subspaces of tensors with high analytic rank

zbMath1498.15030arXiv1908.04169MaRDI QIDQ5043607

Jop Briët

Publication date: 6 October 2022

Full work available at URL: https://arxiv.org/abs/1908.04169

zbMATH Keywords

subspaces\(d\)-tensorsrandom differences

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Arithmetic progressions (11B25) Matrices, determinants in number theory (11C20)

Cites Work

• Unnamed Item
• Random differences in Szemerédi's theorem and related results
• Linear forms and higher-degree uniformity for functions on \(\mathbb F^n_p\)
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• Polynomial bound for partition rank in terms of analytic rank
• Approximate cohomology
• On Szemerédi’s theorem with differences from a random set
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• On sets of integers containing k elements in arithmetic progression
• Random sequences and pointwise convergence of multiple ergodic averages
• Polynomial bound for the partition rank vs the analytic rank of tensors
• The analytic rank of tensors and its applications
• Gaussian Width Bounds with Applications to Arithmetic Progressions in Random Settings

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