72 citations · 401 across the 40 of their papers we have counts for
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math.MG2010★ 20 cited
Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces
Tim Austin, Assaf Naor, Romain Tessera
Let $\H$ denote the discrete Heisenberg group, equipped with a word metric associated to some finite symmetric generating set. We show that if is a -convex…
math.DS2010★ 11 cited
Multiple recurrence and the structure of probability-preserving systems
Tim Austin
In 1975 Szemerédi proved the long-standing conjecture of Erdős and Turán that any subset of having positive upper Banach density contains arbitrarily long arithmetic progres…
math.GR2010★ 20 cited
Continuity properties of measurable group cohomology
Tim Austin, Calvin C. Moore
A version of group cohomology for locally compact groups and Polish modules has previously been developed using a bar resolution restricted to measurable cochains. That theory was…