Tim Austin

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All published works

Action	Title	Year	Authors
+ PDF Chat	Notions of entropy for unitary representations	2024	Tim Austin
+	Non-convergence of some non-commuting double ergodic averages	2024	Tim Austin
+ PDF Chat	Non-convergence of some non-commuting double ergodic averages	2024	Tim Austin
+	Algebraic dynamical systems from LDPC codes satisfy a strong negation of the weak Pinsker property	2023	Tim Austin Lewis Bowen Christopher Shriver
+ PDF	An ergodic system is dominant exactly when it has positive entropy	2022	Tim Austin Eli Glasner Jean‐Paul Thouvenot Benjamin Weiss
+ PDF	A new dynamical proof of the Shmerkin–Wu theorem	2021	Tim Austin
+ PDF Chat	An ergodic system is dominant exactly when it has positive entropy	2021	Tim Austin Eli Glasner Jean‐Paul Thouvenot B. P. Weiss
+	An ergodic system is dominant exactly when it has positive entropy	2021	Tim Austin Eli Glasner Jean‐Paul Thouvenot Benjamin Weiss
+	A new dynamical proof of the Shmerkin--Wu theorem	2020	Tim Austin
+ PDF Chat	Multi-variate correlation and mixtures of product measures	2020	Tim Austin
+	A new dynamical proof of the Shmerkin--Wu theorem	2020	Tim Austin
+ PDF	The structure of low-complexity Gibbs measures on product spaces	2019	Tim Austin
+ PDF	Uniform mixing and completely positive sofic entropy	2019	Tim Austin Peter Burton
+	The structure of low-complexity Gibbs measures on product spaces	2018	Tim Austin
+	Measures of correlation and mixtures of product measures.	2018	Tim Austin
+ PDF Chat	Measure concentration and the weak Pinsker property	2018	Tim Austin
+ PDF Chat	Gibbs Measures Over Locally Tree-Like Graphs and Percolative Entropy Over Infinite Regular Trees	2018	Tim Austin Moumanti Podder
+	Measure concentration and the weak Pinsker property . Integral models of Shimura varieties with parahoric level structure . Integral p-adic Hodge theory	2018	Tim Austin Mark Kisin G. Pappas Bhargav Bhatt Matthew Morrow Peter Scholze
+	The structure of low-complexity Gibbs measures on product spaces	2018	Tim Austin
+	An asymptotic equipartition property for measures on model spaces	2017	Tim Austin
+ PDF Chat	Euclidean-valued group cohomology is always reduced	2017	Tim Austin
+	An asymptotic equipartition property for measures on model spaces	2017	Tim Austin
+	An asymptotic equipartition property for measures on model spaces	2017	Tim Austin
+ PDF Chat	Behaviour of Entropy Under Bounded and Integrable Orbit Equivalence	2016	Tim Austin
+ PDF Chat	Non-conventional ergodic averages for several commuting actions of an amenable group	2016	Tim Austin
+	Multiple Recurrence and Finding Patterns in Dense Sets	2016	Tim Austin
+	The Geometry of Model Spaces for Probability-Preserving Actions of Sofic Groups	2016	Tim Austin
+	Fall Sampler: Szemer 'edi's Theorem: Combinatorics, Ergodic Theory and Algebra	2016	Tim Austin
+	Behaviour of entropy under bounded and integrable orbit equivalence	2016	Tim Austin
+	Uniform mixing and completely positive sofic entropy	2016	Tim Austin Peter Burton
+ PDF	Erratum: A CAT(0)-valued pointwise ergodic theorem	2016	Tim Austin
+ PDF Chat	Integrable measure equivalence for groups of polynomial growth	2016	Tim Austin
+ PDF Chat	Ajtai–Szemerédi Theorems over quasirandom groups	2016	Tim Austin
+ PDF	ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES	2016	Tim Austin
+	Behaviour of entropy under bounded and integrable orbit equivalence	2016	Tim Austin
+	Uniform mixing and completely positive sofic entropy	2016	Tim Austin Peter Burton
+	The geometry of model spaces for probability-preserving actions of sofic groups	2015	Tim Austin
+	On the failure of concentration for the ℓ ∞-ball	2015	Tim Austin
+	Additivity properties of sofic entropy and measures on model spaces	2015	Tim Austin
+ PDF	Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups: Erratum	2015	Tim Austin
+ PDF	Exchangeable random measures	2015	Tim Austin
+ PDF Chat	Pleasant extensions retaining algebraic structure, II	2015	Tim Austin
+ PDF Chat	Pleasant extensions retaining algebraic structure, I	2015	Tim Austin
+	Ajtai-Szemerédi Theorems over quasirandom groups	2015	Tim Austin
+	Additivity properties of sofic entropy and measures on model spaces	2015	Tim Austin
+	The geometry of model spaces for probability-preserving actions of sofic groups	2015	Tim Austin
+ PDF Chat	Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups	2014	Tim Austin
+ PDF Chat	A Proof of Walsh's Convergence Theorem Using Couplings	2014	Tim Austin
+	Scenery entropy as an invariant of RWRS processes	2014	Tim Austin
+	Entropy of probability kernels from the backwards tail boundary	2014	Tim Austin
+	Scenery entropy as an invariant of RWRS processes	2014	Tim Austin
+	Integrable measure equivalence for groups of polynomial growth	2013	Tim Austin
+	A proof of Walsh's convergence theorem using couplings	2013	Tim Austin
+	Non-conventional ergodic averages for several commuting actions of an amenable group	2013	Tim Austin
+	Partial difference equations over compact Abelian groups, II: step-polynomial solutions	2013	Tim Austin
+ PDF	Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces	2013	Tim Austin Assaf Naor Romain Tessera
+ PDF	A hierarchical version of the de Finetti and Aldous-Hoover representations	2013	Tim Austin Dmitry Panchenko
+ PDF Chat	Rational group ring elements with kernels having irrational dimension	2013	Tim Austin
+	A hierarchical version of the de Finetti and Aldous-Hoover representations	2013	Tim Austin Dmitry Panchenko
+	On the failure of concentration for the \ell_\infty-ball	2013	Tim Austin
+	Partial difference equations over compact Abelian groups, I: modules of solutions	2013	Tim Austin
+	Integrable measure equivalence for groups of polynomial growth	2013	Tim Austin with an Appendix by Lewis Bowen
+	A proof of Walsh's convergence theorem using couplings	2013	Tim Austin
+	A hierarchical version of the de Finetti and Aldous-Hoover representations	2013	Tim Austin Dmitry Panchenko
+	Partial difference equations over compact Abelian groups, II: step-polynomial solutions	2013	Tim Austin
+	Non-conventional ergodic averages for several commuting actions of an amenable group	2013	Tim Austin
+ PDF Chat	Continuity properties of measurable group cohomology	2012	Tim Austin Calvin C. Moore
+ PDF Chat	Equidistribution of joinings under off-diagonal polynomial flows of nilpotent Lie groups	2012	Tim Austin
+ PDF Chat	Norm convergence of continuous-time polynomial multiple ergodic averages	2011	Tim Austin
+ PDF Chat	Amenable groups with very poor compression into Lebesgue spaces	2011	Tim Austin
+ PDF Chat	Deducing the Density Hales–Jewett Theorem from an Infinitary Removal Lemma	2011	Tim Austin
+ PDF Chat	A CAT(0)-VALUED POINTWISE ERGODIC THEOREM	2011	Tim Austin
+	Ergodic-theoretic implementations of the Roth density-increment argument	2011	Tim Austin
+	Norm convergence of continuous-time polynomial multiple ergodic averages	2011	Tim Austin
+ PDF	Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems	2011	Tim Austin Tanja Eisner Terence Tao
+	On discontinuities of cocycles in cohomology theories for topological groups	2011	Tim Austin
+	Norm convergence of continuous-time polynomial multiple ergodic averages	2011	Tim Austin
+	Ergodic-theoretic implementations of the Roth density-increment argument	2011	Tim Austin
+	Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces	2010	Tim Austin Assaf Naor Romain Tessera
+ PDF Chat	Deducing the multidimensional Szemerédi theorem from an infinitary removal lemma	2010	Tim Austin
+	Continuity properties of Moore cohomology	2010	Tim Austin
+ PDF Chat	Testability and repair of hereditary hypergraph properties	2010	Tim Austin Terence Tao
+ PDF	Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications	2010	Tim Austin
+	Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces	2010	Tim Austin Assaf Naor Romain Tessera
+	Pleasant extensions retaining algebraic structure, II	2009	Tim Austin
+	A counterexample to a conjecture of Atiyah	2009	Tim Austin
+ PDF Chat	Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles	2009	Tim Austin Mariusz Lemańczyk
+ PDF Chat	On the norm convergence of non-conventional ergodic averages	2009	Tim Austin
+	A CAT(0)-valued pointwise ergodic theorem	2009	Tim Austin
+	Pleasant extensions subject to some algebraic constraints, and applications	2009	Tim Austin
+ PDF	The Euclidean Distortion of the Lamplighter Group	2009	Tim Austin Assaf Naor Alain Valette
+	Deducing the Density Hales-Jewett Theorem from an infinitary removal lemma	2009	Tim Austin
+	An alternative ending to "Pleasant extensions retaining algebraic structure''	2009	Tim Austin
+	Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications	2009	Tim Austin
+	Nonconventional ergodic averages and multiple recurrence for von Neumann dynamical systems	2009	Tim Austin Tanja Eisner Terence Tao
+	A CAT(0)-valued pointwise ergodic theorem	2009	Tim Austin
+	Pleasant extensions retaining algebraic structure, II	2009	Tim Austin
+	Pleasant extensions retaining algebraic structure, I	2009	Tim Austin
+	Deducing the Density Hales-Jewett Theorem from an infinitary removal lemma	2009	Tim Austin
+	Deducing the multidimensional Szemeredi Theorem from the infinitary hypergraph removal lemma	2008	Tim Austin
+ PDF	The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$	2008	Tim Austin Assaf Naor Yuval Peres
+ PDF	The emergence of the deterministic Hodgkin–Huxley equations as a limit from the underlying stochastic ion-channel mechanism	2008	Tim Austin
+	Razborov flag algebras as algebras of measurable functions	2008	Tim Austin
+	On the testability and repair of hereditary hypergraph properties	2008	Tim Austin Terence Tao
+	On the geometry of a class of invariant measures and a problem of Aldous	2008	Tim Austin
+	On the norm convergence of nonconventional ergodic averages	2008	Tim Austin
+	Deducing the multidimensional Szemeredi Theorem from an infinitary removal lemma	2008	Tim Austin
+ PDF	On exchangeable random variables and the statistics of large graphs and hypergraphs	2008	Tim Austin
+	The wreath product of Z with Z has Hilbert compression exponent 2/3	2007	Tim Austin Assaf Naor Yuval Peres
+	The Euclidean distortion of the lamplighter group	2007	Tim Austin Assaf Naor Alain Valette
+ PDF Chat	A pair of non-homeomorphic product measures on the Cantor set	2007	Tim Austin
+	For what number of cars must self organization occur in the Biham-Middleton-Levine traffic model from any possible starting configuration?	2006	Tim Austin Itaï Benjamini
+	On contractive families and a fixed-point question of Stein	2006	Tim Austin
+ PDF Chat	On Contractive Families and a Fixed‐Point Question of Stein	2005	Tim Austin

Common Coauthors

Coauthor	Papers Together
Assaf Naor	7
Terence Tao	4
Eli Glasner	3
Romain Tessera	3
Peter Burton	3
Jean‐Paul Thouvenot	3
Dmitry Panchenko	3
Benjamin Weiss	2
Alain Valette	2
Tanja Eisner	2
Yuval Peres	2
Christopher Shriver	1
B. P. Weiss	1
Calvin C. Moore	1
Mariusz Lemańczyk	1
Moumanti Podder	1
with an Appendix by Lewis Bowen	1
Mark Kisin	1
Bhargav Bhatt	1
Lewis Bowen	1
Matthew Morrow	1
Itaï Benjamini	1
Peter Scholze	1
G. Pappas	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	28
+	Ergodic Theory via Joinings	2003	Eli Glasner	26
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	24
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	20
+ PDF Chat	On the norm convergence of non-conventional ergodic averages	2009	Tim Austin	19
+ PDF Chat	Norm convergence of multiple ergodic averages for commuting transformations	2008	Terence Tao	18
+	Convergence of Conze–Lesigne averages	2001	Bernard Host Bryna Kra	17
+ PDF	Ergodic seminorms for commuting transformations and applications	2009	Bernard Host	14
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson	13
+ PDF	Convergence of multiple ergodic averages for some commuting transformations	2005	Nikos Frantzikinakis Bryna Kra	13
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	11
+	A nilpotent Roth theorem	2002	Vitaly Bergelson A. Leibman	10
+ PDF	Extensions of ergodic group actions	1976	Robert J. Zimmer	10
+	A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal lemma	2007	Terence Tao	9
+ PDF	Théorèmes ergodiques pour des mesures diagonales	1984	Jean-Pierre Conze Emmanuel Lesigne	9
+ PDF Chat	A non-conventional ergodic theorem for a nilsystem	2005	Tamar Ziegler	9
+ PDF	Group extensions and cohomology for locally compact groups. IV	1976	Calvin C. Moore	8
+ PDF Chat	Deducing the multidimensional Szemerédi theorem from an infinitary removal lemma	2010	Tim Austin	8
+	Representations for partially exchangeable arrays of random variables	1981	David Aldous	8
+ PDF Chat	Isometric Group Actions on Hilbert Spaces: Growth of Cocycles	2007	Yves de Cornulier Romain Tessera Alain Valette	8
+ PDF	Norm convergence of nilpotent ergodic averages	2012	Miguel N. Walsh	8
+	Symmetries on random arrays and set-indexed processes	1992	Olav Kallenberg	8
+ PDF	Ergodic actions with generalized discrete spectrum	1976	Robert J. Zimmer	8
+	Quasirandomness, Counting and Regularity for 3-Uniform Hypergraphs	2006	W. T. Gowers	8
+ PDF	Algebraic cohomology of topological groups	1973	David Wigner	7
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	7
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	7
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	7
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra	7
+	The counting lemma for regular k-uniform hypergraphs	2006	Brendan Nagle Vojtěch Rödl Mathias Schacht	7
+ PDF	On exchangeable random variables and the statistics of large graphs and hypergraphs	2008	Tim Austin	7
+ PDF	Extensions and low dimensional cohomology theory of locally compact groups. I, II	1964	Calvin C. Moore	7
+	Geometric Nonlinear Functional Analysis	1999	Yoav Benyamini Joram Lindenstrauss	7
+ PDF Chat	Entropy and Mixing for Amenable Group Actions	2000	Daniel J. Rudolph Benjamin Weiss	6
+	A density version of the Hales-Jewett theorem	1991	Hillel Fürstenberg Yitzhak Katznelson	6
+	On convergence of the averages $$\frac{1}{N}\sum\nolimits_{n = 1}^N {f_1 (R^n x)f_2 (S^n x)f_3 (T^n x)} $$	1996	Qing Zhang	6
+	Probabilistic Symmetries and Invariance Principles	2005	Olav Kallenberg	6
+	Cohomology Theories for Compact Abelian Groups	1973	Karl H. Hofmann Paul S. Mostert	6
+	A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x)	1996	Hillel Fürstenberg Benjamin Weiss	6
+ PDF Chat	Soficity, amenability, and dynamical entropy	2013	David Kerr Hanfeng Li	5
+	A Roth theorem for amenable groups	1997	Vitaly Bergelson Randall McCutcheon Shouxin Zhang	5
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	5
+	Exchangeability and related topics	1985	David Aldous	5
+ PDF	A Quantitative Ergodic Theory Proof of Szemerédi's Theorem	2006	Terence Tao	5
+	COHOMOLOGY OF GROUPS (Graduate Texts in Mathematics, 87)	1984	C. B. Thomas	5
+	Szemer'edi's regularity lemma revisited	2006	Terence Tao	5
+ PDF	Bounding $\bar{d}$-distance by informational divergence: a method to prove measure concentration	1996	K. Marton	5
+	Multiple recurrence and the structure of probability-preserving systems	2010	Timothy Derek Austin	5
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	5
+	Measure conjugacy invariants for actions of countable sofic groups	2009	Lewis Bowen	5