Title-links are to the Mathematics arXiv.
"Algebraic dynamical systems from LDPC codes satisfy a strong negation of the weak Pinsker property", with Lewis Bowen and Christopher Shriver. To appear, Journal of the Institute of Mathematics of Jussieu.
"Non-convergence of some non-commuting double ergodic averages", Proc. Amer. Math. Soc. 153 (2025), no. 4, 1701--1707.
"An ergodic system is dominant exactly when it has positive entropy", with Eli Glasner, Jean-Paul Thouvenot, and Benjamin Weiss, Ergodic Theory and Dynam. Systems 43 (2023), no. 10, 3216--3230.
"A new dynamical proof of the Shmerkin--Wu theorem", J. Modern Dynam. 18 (2022), 1--11.
"Multi-variate correlation and mixtures of product measures", Kybernetika 56 (2020), no. 3, 459--499. (Also: free online access at the journal website.)
"The structure of low-complexity Gibbs measures on product spaces", Ann. Probab. 47 (2019), no. 6, 4002--4023.
"An asymptotic equipartition property for measures on model spaces", Trans. Amer. Math. Soc. 371 (2019), 1379--1402.
"Uniform mixing and completely positive sofic entropy", with Peter Burton, J. Anal. Math. 138 (2019), no. 2, 597--612.
"Measure concentration and the weak Pinsker property", Publ. Math. Inst. Hautes Études Sci. 128 (2018), 1--119.
"Euclidean-valued group cohomology is always reduced", J. Topology and Analysis 10 (2018), no. 3, 483--491.
"Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees", with Moumanti Podder, J. Stat. Phys. 170 (2018), no. 5, 932--951.
"On the failure of concentration for the \ell_\infty ball", Israel J. Math. 211 (2016), no. 1, 221--238.
"Non-conventional ergodic averages for several commuting actions of an amenable group", J. Anal. Math. 130 (2016), 243--274
"Ajtai-Szemeredi Theorems over quasirandom groups", Recent trends in combinatorics, 453–484, IMA Vol. Math. Appl., 159, Springer, [Cham], 2016
"The geometry of model spaces for probability-preserving actions of sofic groups", Anal. Geom. Metr. Spaces 4 (2016), Art. 6.
"Additivity properties of sofic entropy and measures on model spaces", Forum Math. Sigma 4 (2016), e25, 79 pp.
"Integrable measure equivalence for groups of polynomial growth", with Appendix B by Lewis Bowen, Groups Geom. Dyn. 10 (2016), no. 1, 117--154.
"Behaviour of entropy under bounded and integrable orbit equivalence", Geom. Funct. Anal. 26 (2016), 1483--1525.
"Entropy of probability kernels from the backwards tail boundary", Studia Math. 227 (2015), no. 3, 249--257.
"A proof of Walsh's convergence theorem using couplings". Int. Math. Res. Not. IMRN (2015), no. 15, 6661--6674
"Quantitative equidistribution for certain quadruples in quasi-random groups", Combin. Probab. Comput. 24 (2015), no. 2, 376--381
[ "An alternative ending to ``Pleasant extensions retaining algebraic structure'' ". Unpublished note (2010). ]
"Pleasant extensions retaining algebraic structure, II", J. Anal. Math. 126 (2015), 1--111
"Pleasant extensions retaining algebraic structure, I", J. Anal. Math. 125 (2015), 1--36
"Exchangeable random measures", Ann. Inst. Henri Poincaré Probab. Stat. 51 (2015), no. 3, 842--861
"A hierarchical version of the de Finetti and Aldous-Hoover representations", with Dmitry Panchenko, Probab. Theory Related Fields 159 (2014), no. 3--4, Page 809--823.
"Continuity properties of measurable group cohomology", with Calvin C. Moore, Math. Ann. 356 (2013), no. 3, 885--937.
"Ergodic-theoretic implementations of the Roth density-increment argument", Online J. Anal. Comb. (2013), no. 8, 33pp
"Equidistribution of joinings under off-diagonal polynomial flows of nilpotent Lie groups", Ergodic Theory Dynam. Systems 33 (2013), no. 6, 1667--1708
"Rational group ring elements with kernels having irrational dimension", Proc. London Math. Soc. 107 (2013), 1424--1448.
"Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces", with Assaf Naor and Romain Tessera, Groups Geom. Dyn. 7 (2013), no. 3, 497--522.
"Norm convergence of continuous-time polynomial multiple ergodic averages", Ergodic Theory Dynam. Systems 32 (2012), no. 2, 361--382. Dedicated to the memory of Dan Rudolph.
"Deducing the Density Hales-Jewett Theorem from an infinitary removal lemma", J. Theoret. Probab. 24 (2011), no. 3, 615--633
"Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems", with Tanja Eisner and Terence Tao, Pacific J. Math. 250 (2011), no. 1, 1--60
"Amenable groups with very poor compression into Lebesgue spaces", Duke Mathematical Journal 159 (2011), no. 2, 187--222.
"A CAT(0)-valued pointwise ergodic theorem", J. Topology and Analysis 3 (2011), no. 2, 145--152.
"On the testability and repair of hereditary hypergraph properties", with Terence Tao, Random Struct. Alg. 36 (2010), no. 4, 373--463
"Deducing the multidimensional Szemeredi Theorem from an infinitary removal lemma", J. Anal. Math. 111 (2010), 131--150.
"Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications", Fund. Math. 210 (2010), no. 2, 133--206
"On the norm convergence of nonconventional ergodic averages", Ergodic Theory and Dynamical Systems 30 (2010), no. 2, 321--338.
"The Euclidean distortion of the lamplighter group", with Assaf Naor and Alain Valette, Discrete and Computational Geometry 44 (2010), no. 1, 55--74
"Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles", with Mariusz Lemanczyk, J. Fixed Point Theory Appl. 6 (2009), no. 1, 115--131
"The wreath product of Z with Z has Hilbert compression exponent 2/3", with Assaf Naor and Yuval Peres, Proc. Amer. Math. Soc. 137 (2009), no. 1, 85--90
"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
"A pair of non-homeomorphic product measures on the Cantor set", Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 103--110
"On contractive families and a fixed-point question of Stein", Mathematika 52 (2005), no. 1-2, 115--129
These may not be in their final form.
"Annealed almost periodic entropy", preprint (2025).
"Entropy and determinants for unitary representations", preprint (2025).
"Scenery entropy as an invariant of RWRS processes", preprint (2014).
"Partial difference equations over compact Abelian groups, II: step-polynomial solutions", preprint (2013).
"Partial difference equations over compact Abelian groups, I: modules of solutions", preprint (2013).
"On discontinuities of cocycles in cohomology theories for topological groups" (2011).
"Multiple recurrence and the structure of probability-preserving systems" (2010). This is a slightly re-written version of my thesis.
"On exchangeable random variables and the statistics of large graphs and hypergraphs", Probability Surveys 5 (2008), 80--145
The following appeared as a chapter in the proceedings of the Easter School on `Dynamics and Analytic Number Theory' held at Durham University, U.K., in April 2014. This pre-publication version is made available with the permission of Cambridge University Press.
Tim Austin
Warwick Mathematics Institute
Zeeman Building, University of Warwick
Coventry, CV4 7AL, United Kingdom
Tim DOT Austin AT Warwick DOT ac DOT uk