An Effective Ratner Equidistribution Result for ASL(2,R)
Dynamical Systems
2015-11-03 v3 Number Theory
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.
Keywords
Cite
@article{arxiv.1309.6103,
title = {An Effective Ratner Equidistribution Result for ASL(2,R)},
author = {Andreas Strömbergsson},
journal= {arXiv preprint arXiv:1309.6103},
year = {2015}
}
Comments
A few typos corrected. Some added text in Sections 1.3 and 6, prompted by the referees' comments. To appear in Duke Math J