Equidistribution in \(S\)-arithmetic and adelic spaces

DOI10.5802/afst.1434zbMath1336.37009arXiv1609.07319OpenAlexW2327742195MaRDI QIDQ2339509

Antonin Guilloux

Publication date: 1 April 2015

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07319

zbMATH Keywords

Hecke correspondenceadelic mixingequidistribution of spheresHecke spheres

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distribution of periodic torus orbits and Duke's theorem for cubic fields
• Stationary measures and closed invariants on homogeneous spaces
• Uniform distribution of horocycle orbits for Fuchsian groups
• Invariant measures and the set of exceptions to Littlewood's conjecture
• Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices
• Distribution of lattice orbits on homogeneous varieties
• Existence and equidistribution of denominator \(n\)-matrices in unitary and orthogonal groups
• Polynomial dynamic and lattice orbits in \(S\)-arithmetic homogeneous spaces
• Density of integer points on affine homogeneous varieties
• Mixing, counting, and equidistribution in Lie groups
• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
• Invariant measures and orbit closures for unipotent actions on homogeneous spaces
• Démonstration de la conjecture \(\tau\). (Proof of the \(\tau\)-conjecture.)
• Orbit distribution on \(\mathbb R^2\) under the natural action of \(\mathrm{SL}(2,\mathbb Z)\)
• Unipotent flows and counting lattice points on homogeneous varieties
• Lattice actions on the plane revisited
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• Applications of ergodic theory to the investigation of manifolds of negative curvature
• Ergodic theoretic proof of equidistribution of Hecke points
• A brief remark on orbits of SL(2,ℤ) in the Euclidean plane
• Distribution des orbites des réseaux sur le plan réel
• On the equidistribution of Hecke points
• Manin’s and Peyre’s conjectures on rational points and adelic mixing
• Hecke operators and equidistribution of Hecke points

This page was built for publication: Equidistribution in \(S\)-arithmetic and adelic spaces