Research papers and notes

Research

Classical analysis

• "On contractive families and a fixed-point question of Stein", Mathematika 52 (2005), no. 1-2, 115--129
• "A pair of non-homeomorphic product measures on the Cantor set", Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 103--110

Exchangeable random variables and related extremal combinatorics

• "On the testability and repair of hereditary hypergraph properties" (2008), with Terence Tao. To appear, Random Struct. Alg.

Ergodic theory and related arithmetic combinatorics

• "On the norm convergence of nonconventional ergodic averages" (2008). To appear, Ergodic Theory and Dynamical Systems
• "Deducing the multidimensional Szemeredi Theorem from an infinitary removal lemma" (2008). To appear, Journal d'Analyse Math.
• "Deducing the Density Hales-Jewett Theorem from an infinitary removal lemma" (2009). Preprint.
• "Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles" (2009), with Mariusz Lemanczyk. To appear, J. Fixed Point Theory Appl.
• "Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications" (2009). Preprint.
• "Pleasant extensions retaining algebraic structure, I" (2009). Preprint.
• "Pleasant extensions retaining algebraic structure, II" (2009). Preprint.
• "Pleasant extensions retaining algebraic structure, III" (2009). Preprint.

Geometry of groups and their actions

• "The Euclidean distortion of the lamplighter group" (2007), with Assaf Naor and Alain Valette. To appear, Discrete and Computational Geometry.
• "The wreath product of Z with Z has Hilbert compression exponent 2/3" (2007), with Assaf Naor and Yuval Peres. To appear, Proc. Amer. Math. Soc.
• "A CAT(0)-valued pointwise ergodic theorem" (2009). Preprint.
• "A finitely-generated amenable group with very poor compression into Lebesgue spaces" (2009). Preprint.
• "A counterexample to a question of Atiyah" (2009). Preprint.

Applied stochastic processes

• "The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism", Ann. App. Probab. 18 (2008), no. 4, 1279--1325

Survey articles

• "On exchangeable random variables and the statistics of large graphs and hypergraphs", Probability Surveys 5 (2008), 80--145

Some unpublished notes

• "For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?" (2006), with Itai Benjamini
• "On the geometry of a class of invariant measures and a problem of Aldous" (2008)
• "Razborov flag algebras as algebras of measurable functions" (2008)
• "A counterexample in von Neumann algebra dynamics" (2008): pdf.
• "Entropy and Probability Theory" (2007): pdf. These notes were written to accompany a talk to sixth-form students at Winchester College (UK).
• "Entropy and Sinai's Theorem" (2006): pdf. These notes were written loosely to accompany a pair of graduate seminars at UCLA.
• "Phase transitions" (2005): pdf
• "Spectral measures without the spectrum" (2004): pdf
• "On coordinate-permutation-invariant signed Radon measures on Cartesian powers of compact Hausdorff spaces: a look at de Finetti's theorem" (2003): pdf

Tim Austin, Department of Mathematics, University of California at Los Angeles, CA 90095, U.S.A.
timaustin AT math DOT ucla DOT edu
September 2009