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The multifarious Poincare recurrence theorem V. An overview of infinite ergodic theory J. Logic, 83 3 2018 , 1190--1203. Leibman , Advances in Mathematics 289 2016 , 928-950. Weiss , Topics in Discrete Mathematics Dedicated to Jarik Nesetril on the occasion of his 60th birthday Springer, 2006, 13-37.

Tent The complexity of topological group isomorphism, J. Along the way the authors made progress on the second problem, by showing that a quasi-generic class of transformations can be realized as diffeomorphisms of the 2-torus. Louveau Countable Borel equivalence relations, J. Rosenblatt , Ergodic Theory and Dynamical Systems 34 2014 , no. Zorin-Kranich , Journal of Functional Analysis 270 2016 , no. Note: You or your institution must have a valid MathSciNet subscription.

This class is the source of the complexity of the classification problem. It will be of interest to graduate students and researchers working in either of these areas. Zorin-Kranich , Combininatorics, Probabability and Computing 26 2017 , no. Lesigne , Colloquium Mathematicum 110 2008 , no. Lecture Note Series 277, 231-259, Cambridge University Press, 2000.

Rosendal Turbulence, amalgamation and generic automorphisms of homogeneous structures, Proceedings of the London Math. Society, 94 3 2007 , 302—350. Todorcevic Ramsey properties of finite measure algebras and topological dynamics of the group of measure preserving automorphisms: some results and an open problem, in: Foundations of Mathematics, Essays in Honor of W. As part of the project he raised the question of whether every ergodic measure preserving transformation of the unit interval is isomorphic to a diffeomorphism of a manifold. Steel , Lecture Notes in Logic 31, Cambridge University Press, 2008. Society, 16 2014 , 2059-2095.

Wierdl , Handbook of Dynamical Systems, vol. Miller Stationary probability measures and topological realizations, Israel. Dougherty How many Turing degrees are there? Miller Means on equivalence relations, Israel. Logic 2 1 2002 , 1-80. Senti , Ergodic Theory and Dynamamical Systems 26 2006 , 1285-1305. Lyons Random orderings and unique ergodicity of automorphism g roups, J. Tseng , Israel Journal of Mathematics 210 2015 , no.

Lecture Notes Series, 262, Cambridge University Press, 2002. Logic 60 1995 , 1273-1300. Groups of automorphisms of a measure space and weak equivalence of cocycles S. Leibman , Advances in Mathematics 175 2003 , no. Sofronidis A strong generic ergodicity property of unitary and self-adjoint operators, Ergodic Theory and Dynam. Burton Invariant random subgroups and action versus represe ntation maximality, Proc. Berend , Ergodic Theory and Dynamical Systems 28 2008 , no.

A 113 2006 , 1291-1242. Fish , Advances in Mathematics 223 2010 , no. Richter , Ergodic Theory and Dynamical Systems published online in 2018. Moreira , Ergodic Theory and Dynamical Systems published online in July 2016. Son , to appear in Journal d'Analyse Mathematique.

A descriptive view of ergodic theory M. Woodin Generic codes for uncountable ordinals, partition properties , and elementary embeddings ,in: Games, Scales, and Suslin Cardinals: The Cabal Seminar, Volume I, Lecture Notes in Logic 31, Cambridge University Press, 2008, 379-397. Moreira , Indagationes Mathematicae N. Leibman , Recent trends in ergodic theory and dynamical systems, 5-19, Contemporary Mathematics, 631, Amer. World Scientific, Singapore 1998 , 121-149. Tsankov Amenable actions and almost invariant sets, Proc.

Lesigne , Journal D'Analyse Mathematique 103 2007 , 47-92. Louveau The classification of hypersmooth Borel equivalence relations, J. Tao , Geometrical and Functional Analysis 24 2014 , no. A survey of generic dynamics B. Chen Structurable equivalence relations, Fund.