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

52 papers

math.DS2021★ 2 cited

An ergodic system is dominant exactly when it has positive entropy

Tim Austin, Eli Glasner, Jean-Paul Thouvenot +1

An ergodic dynamical system $X$ is called dominant if it is isomorphic to a generic extension of itself. It was shown in an earlier paper by Glasner, Thouvenot and Weiss t…

math.DS2020

A new dynamical proof of the Shmerkin--Wu theorem

Tim Austin

Let $a < b$ be multiplicatively independent integers, both at least $2$ . Let $A, B$ be closed subsets of $[0, 1]$ that are forward invariant under multiplication by $a$ , $b$ respecti…

math.PR2018

The structure of low-complexity Gibbs measures on product spaces

Tim Austin

Let $K_{1}$ , $\dots$ , $K_{n}$ be bounded, complete, separable metric spaces. Let $λ_{i}$ be a Borel probability measure on $K_{i}$ for each $i$ . Let $f : \prod_{i} K_{i} \to R$ be a bou…

math.PR2018★ 2 cited

Multi-variate correlation and mixtures of product measures

Tim Austin

Total correlation (`TC') and dual total correlation (`DTC') are two classical ways to quantify the correlation among an $n$ -tuple of random variables. They both reduce to mutual in…

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…