72 citations · 102 across the 5 of their papers we have counts for
5 papers
On the geometry of a class of invariant measures and a problem of Aldous
Tim Austin
In his 1985 survey of notions of exchangeability, Aldous introduced a form of exchangeability corresponding to the symmetries of the infinite discrete cube, and asked whether these…
Razborov flag algebras as algebras of measurable functions
Tim D. Austin
These are some brief notes on the translation from Razborov's recently-developed notion of flag algebra into the lexicon of functions and measures on certain abstract Cantor spaces…
On exchangeable random variables and the statistics of large graphs and hypergraphs
Tim Austin
De Finetti's classical result of [18] identifying the law of an exchangeable family of random variables as a mixture of i.i.d. laws was extended to structure theorems for more comp…
The wreath product of Z with Z has Hilbert compression exponent 2/3
Tim Austin, Assaf Naor, Yuval Peres
Let G be a finitely generated group, equipped with the word metric d associated with some finite set of generators. The Hilbert compression exponent of G is the supremum over all $…
The Euclidean distortion of the lamplighter group
Tim Austin, Assaf Naor, Alain Valette
We show that the cyclic lamplighter group $C_2 \bwr C_n$ embeds into Hilbert space with distortion . This matches the lower bound proved by Lee, Naor and Pe…