Hausdorff dimension and subgroups of \(\mathrm{SU}(2)\)

DOI10.1007/s11856-015-1221-5zbMath1328.22007OpenAlexW2273511180MaRDI QIDQ891159

Nicolas de Saxcé, Elon Lindenstrauss

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-015-1221-5

zbMATH Keywords

Hausdorff dimension\(\mathrm{SU}(2)\)Balog-Gowers-Szemeredi TheoremBourgain-Gamburd Product TheoremErdős-Volkmann Ring Conjecture

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Other combinatorial number theory (11B75) Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30) Additive bases, including sumsets (11B13)

Related Items (5)

A spectral gap theorem in simple Lie groups ⋮ Discretized sum-product and Fourier decay in \(\mathbb{R}^n\) ⋮ Discretized sum-product estimates in matrix algebras ⋮ Locally random groups ⋮ Local spectral gap in simple Lie groups and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Dimensional gap in semisimple compact Lie groups via Fourier series
• The discretized sum-product and projection theorems
• A spectral gap theorem in SU\((d)\)
• Product set estimates for non-commutative groups
• 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
• Rings of fractional dimension
• Classes of sets with large intersection
• Borel subrings of the reals
• SUBGROUPS OF FRACTIONAL DIMENSION IN NILPOTENT OR SOLVABLE LIE GROUPS
• Some connections between Falconer's distance set conjecture and sets of Furstenburg type

This page was built for publication: Hausdorff dimension and subgroups of \(\mathrm{SU}(2)\)