Effective multiple equidistribution of translated measures
arXiv:2105.05468
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.
23 pages, 0 figures. Comments are welcome!