QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF IN THE BENJAMINI–SCHRAMM LIMIT
From MaRDI portal
Publication:6171800
DOI10.1017/s147474802100058xzbMath1522.58019arXiv2009.05979OpenAlexW4200200223MaRDI QIDQ6171800
Publication date: 16 August 2023
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05979
Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51) Relations between ergodic theory and harmonic analysis (37A46)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum ergodicity and Benjamini-Schramm convergence of hyperbolic surfaces
- Pseudo-differential calculus on homogeneous trees
- Ergodicity and eigenfunctions of the Laplacian
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Spectra of compact locally symmetric manifolds of negative curvature
- Asymptotic properties of unitary representations
- Spectral transfer and pointwise ergodic theorems for semi-simple Kazhdan groups
- On the asymptotic geometry of nonpositively curved manifolds
- Recurrence of distributional limits of finite planar graphs
- The orbit method and analysis of automorphic forms
- Spectral asymptotics for arithmetic quotients of \(\text{SL}(n,{\mathbb R})/\text{SO}(n)\)
- Quantum ergodicity on large regular graphs
- On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
- On quantum unique ergodicity for locally symmetric spaces
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- Connection of the dual space of a group with the structure of its closed subgroups
- Spherical transforms on semisimple Lie groups
- On the Plancherel formula and the Paley-Wiener theorem for spherical functions on semisimple Lie groups
- Spherical Functions on a Semisimple Lie Group, I
- Entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras
- Residue formulae, vector partition functions and lattice points in rational polytopes
- Quantum Ergodicity and Averaging Operators on the Sphere
- Positive Entropy Using Hecke Operators at a Single Place
- Lower bounds for Maass forms on semisimple groups
- Quantitative ergodic theorems and their number-theoretic applications