228 citations
- University of California, Los AngelesUS17 papers
- California Institute of TechnologyUS6 papers
- Johns Hopkins UniversityUS5 papers
- Princeton UniversityUS5 papers
- Tel Aviv UniversityIL5 papers
- University of California, BerkeleyUS5 papers
- Berkeley CollegeUS4 papers
- CEA Paris-SaclayFR4 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR4 papers
- ETH ZurichCH4 papers
- European Organization for Nuclear ResearchCH4 papers
- University of British ColumbiaCA4 papers
4 papers · 1 filter
Relatively finite measure-preserving extensions and lifting multipliers by Rokhlin cocycles
Tim Austin, Mariusz Lemanczyk
We show that under some natural ergodicity assumptions extensions given by Rokhlin cocycles lift the multiplier property if the associated locally compact group extension has only…
Extensions of probability-preserving systems by measurably-varying homogeneous spaces and applications
Tim Austin
We study a generalized notion of a homogeneous skew-product extension of a probability-preserving system in which the homogeneous space fibres are allowed to vary over the ergodic…
Deducing the multidimensional Szemeredi Theorem from an infinitary removal lemma
Tim Austin
We offer a new proof of the Furstenberg-Katznelson multiple recurrence theorem for several commuting probability-preserving transformations T_1, T_2, >..., T_d: \bbZ\curvearrowrigh…
On the norm convergence of nonconventional ergodic averages
Tim Austin
We offer a generalization of the recent result of Tao (building on earlier results of Conze and Lesigne, Furstenberg and Weiss, Zhang, Host and Kra, Frantzikinakis and Kra and Zieg…