[图书][B] The Borel complexity of orbit equivalence
AD Tornquist - 2005 - search.proquest.com
The overarching theme of this thesis is the study of orbit equivalence as an equivalence
relation in the context of Borel reducibility. The thesis is divided in two parts: Chapter 1 is …
relation in the context of Borel reducibility. The thesis is divided in two parts: Chapter 1 is …
[图书][B] Rigidity theorems for actions of product groups and countable Borel equivalence relations
G Hjorth, AS Kechris - 2005 - books.google.com
Contributes to the theory of Borel equivalence relations, considered up to Borel reducibility,
and measures preserving group actions considered up to orbit equivalence. This title …
and measures preserving group actions considered up to orbit equivalence. This title …
Orbit equivalence and actions of
A Törnquist - The Journal of Symbolic Logic, 2006 - cambridge.org
xEy <=> f(x)Ff(y). Page 1 THE JOURNAL OF SYMBOLIC LOGIC Volume 71, Number 1, March
2006 ORBIT EQUIVALENCE AND ACTIONS OF F„ ASGER TORNQUIST Abstract. In this …
2006 ORBIT EQUIVALENCE AND ACTIONS OF F„ ASGER TORNQUIST Abstract. In this …
[图书][B] The theory of countable Borel equivalence relations
AS Kechris - 2024 - pma.caltech.edu
The theory of definable equivalence relations has been a very active area of research in
descriptive set theory during the last three decades. It serves as a foundation of a theory of …
descriptive set theory during the last three decades. It serves as a foundation of a theory of …
Orbit equivalence and Borel reducibility rigidity for profinite actions with spectral gap
A Ioana - Journal of the European Mathematical Society, 2016 - ems.press
We study equivalence relations R ( G) that arise from left translation actions of countable
groups on their profinite completions. Under the assumption that the action G is free and has …
groups on their profinite completions. Under the assumption that the action G is free and has …
[图书][B] Topics in orbit equivalence
A Kechris, BD Miller - 2004 - books.google.com
This volume provides a self-contained introduction to some topics in orbit equivalence
theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and …
theory, a branch of ergodic theory. The first two chapters focus on hyperfiniteness and …
Non-Archimedean TSI Polish groups and their potential Borel complexity spectrum
S Allison - arXiv preprint arXiv:2010.05085, 2020 - arxiv.org
A variation of the Scott analysis of countable structures is applied to actions of non-
Archimedean TSI Polish groups acting continuously on a Polish spaces. We give results on …
Archimedean TSI Polish groups acting continuously on a Polish spaces. We give results on …
Behaviour of entropy under bounded and integrable orbit equivalence
T Austin - Geometric and Functional Analysis, 2016 - Springer
Let G and H be infinite finitely generated amenable groups. This paper studies two notions
of equivalence between actions of such groups on standard Borel probability spaces. They …
of equivalence between actions of such groups on standard Borel probability spaces. They …
[PDF][PDF] Around the orbit equivalence theory of the free groups, cost and l2 Betti numbers
D Gaboriau - unpublished note, 2016 - perso.ens-lyon.fr
Abstract: The goal of this series of lectures is to present an overview of the theory of orbit
equivalence, with a particular focus on the probability measure preserving actions of the free …
equivalence, with a particular focus on the probability measure preserving actions of the free …