On uniformly distributed orbits of certain horocycle flows

DOI10.1017/S0143385700001474zbMath0504.22006OpenAlexW2119389045MaRDI QIDQ4740103

Shrikrishna G. Dani

Publication date: 1982

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700001474

zbMATH Keywords

non-periodic orbit

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Dynamics induced by flows and semiflows (37C10) Discrete subgroups of Lie groups (22E40)

Related Items (12)

Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1) ⋮ Möbius disjointness for homogeneous dynamics ⋮ On the deviation of ergodic averages for horocycle flows ⋮ Effective estimates on indefinite ternary forms ⋮ The horocycle flow at prime times ⋮ Disjointness of Moebius from Horocycle Flows ⋮ Lattice orbit distribution on ℝ² ⋮ Shadow Lemma and nondivergence of the horospheres of a geometrically finite manifold. ⋮ Values of quadratic forms at primitive integral points ⋮ Uniform distribution of horocycle orbits for Fuchsian groups ⋮ An effective Ratner equidistribution result for SL\((2,\mathbb R)\ltimes \mathbb R^2\) ⋮ Orbit distribution on \(\mathbb R^2\) under the natural action of \(\mathrm{SL}(2,\mathbb Z)\)

Cites Work

• Unnamed Item
• On invariant measures, minimal sets and a lemma of Margulis
• Orbits of Euclidean frames under discrete linear groups
• Invariant measures and minimal sets of horospherical flows
• Invariant measures of horospherical flows on non-compact homogeneous spaces
• A mean value theorem in geometry of numbers
• Unique Ergodicity of Horospherical Flows
• Ergodicity of Flows on Homogeneous Spaces

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