A special case of effective equidistribution with explicit constants

DOI10.1017/S0143385710000799zbMath1248.37013arXiv1010.5492MaRDI QIDQ2884085

Amir Mohammadi

Publication date: 24 May 2012

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

Full work available at URL: https://arxiv.org/abs/1010.5492

zbMATH Keywords

Haar measureMarkov spectrum\(H\)-orbitsequidistribution with explicit constants

Mathematics Subject Classification ID

Related Items (5)

Some quantitative versions of Ratner's mixing estimates ⋮ New bounds in reduction theory of indefinite ternary integral quadratic forms ⋮ Effective estimates on indefinite ternary forms ⋮ An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms ⋮ An effective Ratner equidistribution result for SL\((2,\mathbb R)\ltimes \mathbb R^2\)

Cites Work

• Raghunathan's topological conjecture and distributions of unipotent flows
• Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
• On measure rigidity of unipotent subgroups of semisimple groups
• On Raghunathan's measure conjecture
• Flows on homogeneous spaces and Diophantine approximation on manifolds
• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
• On sums of three squares.
• Values of quadratic forms at primitive integral points
• Uniform pointwise bounds for matrix coefficients of unitary representations and applications to Kazhdan constants
• Raghunathan's conjectures for Cartesian products of real and \(p\)-adic Lie groups
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• On the product of three homogeneous linear forms and indefinite ternary quadratic forms

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