Publications Influence

Share This Author

## Mean field models for spin glasses

- Tim Austin
- Geology
- 2012

Translation from physics: ‘Glass’: a material which is hard and inflexible (like a solid) but is not completely ordered or lattice-like in its microscropic structure (thus, unlike a crystal or simple… Expand

## On exchangeable random variables and the statistics of large graphs and hypergraphs

- Tim Austin
- Mathematics
- 10 January 2008

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 complex notions of… Expand

## Testability and repair of hereditary hypergraph properties

- Tim Austin, T. Tao
- MathematicsRandom Struct. Algorithms
- 14 January 2008

TLDR

## On the norm convergence of non-conventional ergodic averages

- Tim Austin
- MathematicsErgodic Theory and Dynamical Systems
- 3 May 2008

Abstract We offer a proof of the following non-conventional ergodic theorem: If Ti:ℤr↷(X,Σ,μ) for i=1,2,…,d are commuting probability-preserving ℤr-actions, (IN)N≥1 is a Følner sequence of subsets of… Expand

## The emergence of the deterministic Hodgkin--Huxley equations as a limit from the underlying stochastic ion-channel mechanism

- Tim Austin
- Mathematics
- 3 September 2006

In this paper we consider the classical differential equations of Hodgkin and Huxley and a natural refinement of them to include a layer of stochastic behavior, modeled by a large number of… Expand

## Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems

- Tim Austin, T. Eisner, T. Tao
- Mathematics
- 27 December 2009

The Furstenberg recurrence theorem (or equivalently Szemeredi’s theorem) can be formulated in the language of von Neumann algebras as follows: given an integer k ≥ 2, an abelian finite von Neumann… Expand

## Exchangeable random measures

- Tim Austin
- Mathematics
- 8 February 2013

Let A be a standard Borel space, and consider the space A^{\bbN^{(k)}} of A-valued arrays indexed by all size-k subsets of \bbN. This paper concerns random measures on such a space whose laws are… Expand

## ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES

- Tim Austin
- Mathematics, Computer ScienceForum of Mathematics, Sigma
- 8 October 2015

TLDR

## On contractive families and a fixed-point question of Stein

- Tim Austin
- Mathematics
- 1 December 2005

The following conjecture generalizing the Contraction Mapping Theorem was made by Stein in [9]: Let (X, ρ) be a complete metric space and let F = {T1, . . . , Tn} be a finite family of self-maps of… Expand

## Measure concentration and the weak Pinsker property

- Tim Austin
- Mathematics, Computer Science
- 30 April 2017

TLDR

...

1

2

3

4

5

...