Discretized sum-product estimates in matrix algebras

2016/11/29 by Weikun He, He, Weikun · 1 citation
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1611.09639

openalex publication_date 2016/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize Bourgain's discretized sum-product theorem to matrix algebras.

Citations

• Mesures stationnaires et fermés invariants des espaces homogènes
• Some connections between Falconer's distance set conjecture, and sets of Furstenburg type
• On uniform exponential growth for linear groups

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