A Product Theorem in simple Lie groups

Abstract

We prove a discretized Product Theorem for general simple Lie groups, in the spirit of Bourgain's Discretized Sum-Product Theorem.

arXiv comment27 pages

References in corpus (2)

• Some connections between Falconer's distance set conjecture, and sets of Furstenburg type
• Growth in finite simple groups of Lie type of bounded rank

Cited by in corpus (2)

• On self-similar sets with overlaps and inverse theorems for entropy in ${\mathbb{R}}^d$
• A spectral gap theorem in simple Lie groups