Asymptotic expansion in measure and strong ergodicity
DOI10.1142/s1793525321500278zbMath1522.37002arXiv2005.05697MaRDI QIDQ6044800
Federico Vigolo, Jiawen Zhang, Kang Li
Publication date: 22 May 2023
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.05697
strong ergodicityasymptotic expanderslocal spectral gapasymptotic expansion in measuredomain of expansion
Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) General groups of measure-preserving transformations and dynamical systems (37A15) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)
Related Items (1)
Cites Work
- Unnamed Item
- A spectral gap theorem in simple Lie groups
- Expansion in SL\(_2(\mathbb R)\) and monotone expanders
- Ergodicity of group actions and spectral gap, applications to random walks and Markov shifts
- Large scale geometry
- Ergodic subequivalence relations induced by a Bernoulli action
- Property T and asymptotically invariant sequences
- Asymptotically invariant sequences and an action of SL(2,Z) on the 2- sphere
- Explicit constructions of linear-sized superconcentrators
- Expanding graphs and invariant means
- Spectra of elements in the group ring of SU(2)
- Strong ergodicity, property (T), and orbit equivalence rigidity for translation actions
- Bernoulli actions of type \(\mathrm{III}_{1}\) and \(L^2\)-cohomology
- On the structure of asymptotic expanders
- Measurable equidecompositions for group actions with an expansion property
- Quasi-local algebras and asymptotic expanders
- Local spectral gap in simple Lie groups and applications
- On the spectral gap for finitely-generated subgroups of \(\text{SU}(2)\)
- Amenability, Kazhdan's property T, strong ergodicity and invariant means for ergodic group-actions
- Strongly ergodic actions have local spectral gap
- Measure expanding actions, expanders and warped cones
- Dynamical properties of profinite actions
- Strongly ergodic equivalence relations: spectral gap and type III invariants
- A remark on fullness of some group measure space von Neumann algebras
- Rigidity theorems for actions of product groups and countable Borel equivalence relations
This page was built for publication: Asymptotic expansion in measure and strong ergodicity