An Effective Ratner Equidistribution Result for ASL(2,R)

Abstract

Let G=ASL(2,R) be the affine special linear group of the plane, and set Gamma=ASL(2,Z). We prove a polynomially effective asymptotic equidistribution result for the orbits of a 1-dimensional, non-horospherical unipotent flow on Gamma\G.

A few typos corrected. Some added text in Sections 1.3 and 6, prompted by the referees' comments. To appear in Duke Math J

References in corpus (1)

• Free path lengths in quasicrystals

Cited by in corpus (3)

• Pair correlation for quadratic polynomials mod 1
• An effective equidistribution result for $SL(2,R)⋉(R^2{)}^{\oplus k}$ and application to inhomogeneous quadratic forms
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