Tori approximation of families of diagonally invariant measures

DOI10.1007/s00039-023-00646-7arXiv2301.00721OpenAlexW4383067408MaRDI QIDQ6093400

Yuval Yifrach, Omri Nisan Solan

Publication date: 6 October 2023

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.00721

zbMATH Keywords

ergodic measuresergodic decomposition

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and harmonic analysis (37A46)

Cites Work

• Distribution of periodic torus orbits and Duke's theorem for cubic fields
• Equidistribution of rational matrices in their conjugacy classes
• Distribution of periodic torus orbits on homogeneous spaces
• Hyperbolic distribution problems and half-integral weight Maass forms
• Closed orbits for actions of maximal tori on homogeneous spaces
• On the evolution of continued fractions in a fixed quadratic field
• Hausdorff dimension of weighted singular vectors in \(\mathbb R^2\)
• Ergodic theoretic proof of equidistribution of Hecke points
• Full Escape of Mass for the Diagonal Group
• Dirichlet Shapes of Unit Lattices and Escape of Mass
• Minkowski’s conjecture, well-rounded lattices and topological dimension
• Limiting distributions of translates of divergent diagonal orbits
• The Product of n Inhomogeneous Linear Forms in n Variables
• Hecke operators and equidistribution of Hecke points
• Unnamed Item
• Unnamed Item

This page was built for publication: Tori approximation of families of diagonally invariant measures