Raghunathan's conjectures for \(SL(2,{\mathbb{R}{}})\)

DOI10.1007/BF02808152zbMath0785.22013WikidataQ123296107 ScholiaQ123296107MaRDI QIDQ1802773

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Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

unipotent orbitsorbit closureunipotent actionRaghunathan's conjectures

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Noncompact Lie groups of transformations (57S20)

Related Items (14)

Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow ⋮ On the deviation of ergodic averages for horocycle flows ⋮ Sparse equidistribution problems, period bounds and subconvexity ⋮ On the density of some sparse horocycles ⋮ Values of indefinite quadratic forms at integral points and flows on spaces of lattices ⋮ The ergodic theory of discrete isometry groups on manifolds of variable negative curvature ⋮ On the uniform equidistribution of long closed horocycles ⋮ On unipotent flows in ℋ(1,1) ⋮ Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces ⋮ Distribution of cusp sections in the Hilbert modular orbifold ⋮ Invariant measures and orbit closures for unipotent actions on homogeneous spaces ⋮ Rigidity of multiparameter actions ⋮ Rigidity of measures -- the high entropy case and non-commuting foliations

Cites Work

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• Horocycle flows, joinings and rigidity of products
• Uniform distribution of horocycle orbits for Fuchsian groups
• Raghunathan's topological conjecture and distributions of unipotent flows
• Uniformly distributed orbits of certain flows on homogeneous spaces
• Invariant measures and minimal sets of horospherical flows
• On measure rigidity of unipotent subgroups of semisimple groups
• On Raghunathan's measure conjecture
• The ergodic theory of axiom A flows
• Weak mixing and unique ergodicity on homogeneous spaces
• Unique ergodicity of flows on homogeneous spaces
• Strict measure rigidity for unipotent subgroups of solvable groups
• Fuchsian groups and transitive horocycles
• Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series
• Unique Ergodicity of Horospherical Flows
• Strict Ergodicity and Transformation of the Torus
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• GIBBS MEASURES IN ERGODIC THEORY

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