Tim Austin

activity

20062021

most citedOn exchangeable random variables and the statistics of large graphs and hypergraphs

72 citations · 401 across the 40 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.GR2011★ 1 cited

On discontinuities of cocycles in cohomology theories for topological groups

Tim Austin

This paper studies Moore's measurable cohomology theory for locally compact groups and Polish modules. An elementary dimension-shifting argument is used to show that all classes in…

math.DS2011★ 2 cited

Equidistribution of joinings under off-diagonal polynomial flows of nilpotent Lie groups

Tim Austin

Let $G$ be a connected nilpotent Lie group. Given probability-preserving $G$ -actions $(X_{i}, Σ_{i}, μ_{i}, u_{i})$ , $i = 0, 1, ..., k$ , and also polynomial maps $ϕ_{i} : R \to G$ , $i = 1, ..., k$ …

math.DS2011

Ergodic-theoretic implementations of the Roth density-increment argument

Tim Austin

We exhibit proofs of two ergodic-theoretic results in the study of multiple recurrence using an analog of the density-increment argument of Roth and Gowers: Furstenberg's Multiple…

math.DS2011

Norm convergence of continuous-time polynomial multiple ergodic averages

Tim Austin

For a jointly measurable probability-preserving action $τ : R^{D} ↷ (X, μ)$ and a tuple of polynomial maps $p_{i} : R \to R^{D}$ , $i = 1, 2, ..., k$ , the mu…