Mass equidistribution on the torus in the depth aspect
DOI10.2140/ANT.2020.14.927zbMath1476.58032OpenAlexW3036557946MaRDI QIDQ782339
Publication date: 24 July 2020
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/21.11116/0000-0007-E29F-7
equidistribution in the depth aspectquantum unique ergodicity (QUE) properyrestriction of mass measure to torus
Ergodic theorems, spectral theory, Markov operators (37A30) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representations of Lie and linear algebraic groups over local fields (22E50) 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
- Geodesic restrictions of arithmetic eigenfunctions
- Nodal domains of Maass forms. I
- Sparse equidistribution problems, period bounds and subconvexity
- Mass equidistribution for Hecke eigenforms
- Quantum unique ergodicity for \(\text{SL}_2(\mathbb Z)\setminus \mathbb H\)
- On the Ramanujan conjecture over number fields
- Equidistribution of cusp forms in the level aspect
- Trilinear forms and the central values of triple product \(L\)-functions
- Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
- The behaviour of eigenstates of arithmetic hyperbolic manifolds
- Equidistribution of Eisenstein series on geodesic segments
- The subconvexity problem for \(\mathrm{GL}_2\)
- Subconvex equidistribution of cusp forms: reduction to Eisenstein observables
- The second moment of twisted modular \(L\)-functions
- Quantum ergodic restriction theorems: manifolds without boundary
- On the order of vanishing of newforms at cusps
- Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE
- Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
- On some results of Atkin and Lehner
- Bounds for Rankin–Selberg integrals and quantum unique ergodicity for powerful levels
- Triple product formula and the subconvexity bound of Triple product L-function in level aspect
- Mass equidistribution for automorphic forms of cohomological type on 𝐺𝐿₂
- Triple Product Formula and Mass Equidistribution on Modular Curves of Level N
- Quantum ergodicity for restrictions to hypersurfaces
This page was built for publication: Mass equidistribution on the torus in the depth aspect