Invariant measures of horospherical flows on non-compact homogeneous spaces

DOI10.1007/BF01578067zbMath0368.28021MaRDI QIDQ1243014

Shrikrishna G. Dani

Publication date: 1978

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142572

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Homotopy groups of topological groups and homogeneous spaces (57T20)

Related Items

Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1), Orbits of horospherical flows, Limit distributions of polynomial trajectories on homogeneous spaces, Sparse equidistribution of unipotent orbits in finite-volume quotients of \(\mathrm{PSL}(2,\mathbb R)\), Effective equidistribution of translates of maximal horospherical measures in the space of lattices, Horospherically invariant measures and finitely generated Kleinian groups, Limit distributions of expanding translates of certain orbits on homogeneous spaces, On the space of ergodic invariant measures of unipotent flows, On orbits of unipotent flows on homogeneous spaces, Locally unipotent invariant measures and limit distribution of a sequence of polynomial trajectories on homogeneous spaces, Finitary analysis in homogeneous spaces, On the space of ergodic invariant measures of unipotent flows, Count lifts of non-maximal closed horocycles on \(SL_N(\mathbb{Z}) \backslash SL_N(\mathbb{R})/SO_N({\mathbb{R}})\), Values of indefinite quadratic forms at integral points and flows on spaces of lattices, On the uniform equidistribution of long closed horocycles, Effective estimates on indefinite ternary forms, Horocycle Flows on Surfaces with Infinite Genus, A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds, Dynamics on the space of 2-lattices in 3-space, Almost-prime times in horospherical flows on the space of lattices, Invariant measures for the horocycle flow on periodic hyperbolic surfaces, Horocycle flow on geometrically finite surfaces, Dynamics of horospherical flows, On uniformly distributed orbits of certain horocycle flows, Periodic points on the regular and double \(n\)-gon surfaces, The conformal measures of a normal subgroup of a cocompact Fuchsian group, Uniform distribution of horocycle orbits for Fuchsian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak mixing and unique ergodicity on homogeneous spaces
• Unique ergodicity of flows on homogeneous spaces
• A Poisson formula for semi-simple Lie groups
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• Poisson integrals and semisimple groups
• Spherical Functions on a Semisimple Lie Group, I
• ARITHMETIC PROPERTIES OF DISCRETE SUBGROUPS
• Kolmogorov Automorphisms on Homogeneous Spaces
• Unique Ergodicity of Horospherical Flows
• Ergodicity of Flows on Homogeneous Spaces
• Compactifications of Symmetric Spaces