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 2017Show all

3 papers · 1 filter

math.PR2017★ 8 cited

Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees

Tim Austin, Moumanti Podder

Consider a statistical physical model on the $d$ -regular infinite tree $T_{d}$ described by a set of interactions $Φ$ . Let ${G_{n}}$ be a sequence of finite graphs with vertex se…

math.DS2017★ 32 cited

Measure concentration and the weak Pinsker property

Tim Austin

Let $(X, μ)$ be a standard probability space. An automorphism $T$ of $(X, μ)$ has the weak Pinsker property if for every $ε > 0$ it has a splitting into a direct product of…

math.DS2017

An asymptotic equipartition property for measures on model spaces

Tim Austin

Let $G$ be a sofic group, and let $Σ = (σ_{n})_{n \geq 1}$ be a sofic approximation to it. For a probability-preserving $G$ -system, a variant of the sofic entropy relative to $Σ$ has r…