Effective multiple equidistribution of translated measures
Dynamical Systems
2021-05-13 v1
Abstract
We study the joint distributions of translated measures supported on leaves which are expanded by subgroups of diagonal matrices and generalize previous results of Kleinbock--Margulis, Dabbs--Kelly--Li, and Shi. More specifically, we establish quantitative estimates on higher-order correlations for measures with low regularities and derive error terms which only depend on the distances between translations.
Keywords
Cite
@article{arxiv.2105.05468,
title = {Effective multiple equidistribution of translated measures},
author = {Michael Björklund and Alexander Gorodnik},
journal= {arXiv preprint arXiv:2105.05468},
year = {2021}
}
Comments
23 pages, 0 figures. Comments are welcome!