Effective multiple equidistribution of translated measures

2021/05/12 by Björklund, Michael, Gorodnik, Alexander
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/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.

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