Ratner's theorem on SL(2,R)-invariant measures

2006/03/20 by Manfred Einsiedler, Einsiedler, Manfred · 1 citation
Mathematics · #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0603483

openalex publication_date 2006/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a relatively short and self contained proof of Ratner's theorem in the special case of SL(2,R)-invariant measures.

Citations

• Invariant measures for higher-rank hyperbolic abelian actions

Cited by

• Multi-invariant measures and subsets on nilmanifolds

Related

• Invariant and stationary measures for the SL(2,R) action on Moduli space
• Effective version of Ratner's equidistribution theorem for SL(3,ℝ)
• A genuine analogue of Wiener Tauberian theorem for \mathrm SL(2, \R)
• Distribution modulo one and Ratner's theorem
• Beurling's Theorem for SL(2,\R)