Research papers and notes

All links are to the Mathematics arXiv

Research

1. "On contractive families and a fixed-point question of Stein", Mathematika 52 (2005), no. 1-2, 115--129
2. "A pair of non-homeomorphic product measures on the Cantor set", Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 103--110
3. "The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism" (2006). To appear, Ann. App. Probab.
4. "The Euclidean distortion of the lamplighter group" (2007), with Assaf Naor and Alain Valette, submitted.
5. "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.
6. "On the testability and repair of hereditary hypergraph properties" (2008), with Terence Tao, submitted.
7. "On the norm convergence of nonconventional ergodic averages" (2008), submitted.
8. "Deducing the multidimensional Szemeredi Theorem from the infinitary hypergraph removal lemma" (2008), submitted.

Survey articles

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

Unpublished

1. "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 (2006), with Itai Benjamini, unpublished.
2. "On the geometry of a class of invariant measures and a problem of Aldous" (2008), unpublished.
3. "Razborov flag algebras as algebras of measurable functions" (2008), unpublished note.

Tim Austin, Department of Mathematics, University of California at Los Angeles, CA 90095, U.S.A.
timaustin AT math DOT ucla DOT edu
August 2008