Measures and stabilizers of group Cantor actions
DOI10.3934/dcds.2020350zbMath1470.37020arXiv1911.00680OpenAlexW3092910226MaRDI QIDQ2030042
Publication date: 4 June 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.00680
measuresholonomyCantor setsstabilizersinvariant random subgroupsequicontinuous group actionslocally non-degenerate actionslocally quasi-analytic actions
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10) Groups as automorphisms of other structures (22F50)
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Cites Work
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- The discriminant invariant of Cantor group actions
- Nonfree actions of countable groups and their characters
- Invariant random subgroups of lamplighter groups
- Some topics in the dynamics of group actions on rooted trees.
- Invariant random subgroups of the free group
- Universal groups of intermediate growth and their invariant random subgroups
- Equicontinuous foliated spaces
- Ergodic theory and Weil measures for foliations
- Stabilizers for ergodic actions of higher rank semisimple groups
- Invariant random subgroups of inductive limits of finite alternating groups
- Asymptotics of Betti numbers, \(l^ 2\)-invariants and laminations
- Molino theory for matchbox manifolds
- Kesten's theorem for invariant random subgroups.
- Random walks on random coset spaces with applications to Furstenberg entropy
- The spectra of lamplighter groups and Cayley machines.
- Virtual groups and group actions
- Uniformly recurrent subgroups
- From Self-Similar Groups to Self-Similar Sets and Spectra
- Orbit equivalence rigidity of equicontinuous systems
- Notes on the Schreier graphs of the Grigorchuk group
- Invariant random subgroups of strictly diagonal limits of finite symmetric groups
- G -odometers and their almost one-to-one extensions
- The existence of measures of a given cocycle, I: atomless, ergodic σ-finite measures
- Leaves Without Holonomy
- Homogeneous weak solenoids
- Wild solenoids
- A lecture on invariant random subgroups
- Totally nonfree actions and infinite symmetric group
- Orbit equivalence and classification of weak solenoids
- On invariant random subgroups of block-diagonal limits of symmetric groups
- Unitary representations of solvable Lie groups