Discretized sum-product estimates in matrix algebras
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Publication:2299604
DOI10.1007/s11854-019-0071-1zbMath1453.11019arXiv1611.09639OpenAlexW2986434824WikidataQ126865438 ScholiaQ126865438MaRDI QIDQ2299604
Publication date: 21 February 2020
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.09639
Endomorphism rings; matrix rings (16S50) Other combinatorial number theory (11B75) Finite-dimensional division rings (16K20) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (5)
Orthogonal projections of discretized sets ⋮ Linear random walks on the torus ⋮ On the dimension of exceptional parameters for nonlinear projections, and the discretized Elekes-Rónyai theorem ⋮ Sum-product for real Lie groups ⋮ Discretized sum-product and Fourier decay in \(\mathbb{R}^n\)
Cites Work
- Unnamed Item
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- A spectral gap theorem in simple Lie groups
- Expansion in SL\(_2(\mathbb R)\) and monotone expanders
- Expansion in \(\text{SL}_d(\mathbb Z/q\mathbb Z)\), \(q\) arbitrary.
- Borelian subgroups of simple Lie groups
- The discretized sum-product and projection theorems
- Stationary measures and closed invariants on homogeneous spaces
- A spectral gap theorem in SU\((d)\)
- Orthogonal projections of discretized sets
- Hausdorff dimension and subgroups of \(\mathrm{SU}(2)\)
- On uniform exponential growth for linear groups.
- A polynomial bound in Freiman's theorem.
- A sum-product estimate in finite fields, and applications
- New proofs of Plünnecke-type estimates for product sets in groups
- A product theorem in simple Lie groups
- Local spectral gap in simple Lie groups and applications
- Growth and generation in \(\text{SL}_2(\mathbb{Z}/p\mathbb{Z})\).
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- On the Erdős-Volkmann and Katz-Tao ring conjectures
- Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
- The sum-product phenomenon in arbitrary rings
- Borel subrings of the reals
- Additive and Multiplicative Structure in Matrix Spaces
- Some connections between Falconer's distance set conjecture and sets of Furstenburg type
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