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Effective Multiple Equidistribution of Translated Measures
Michael Björklund, Alexander Gorodnik
Source abstract
Abstract We study the joint distributions of translated measures supported on periodic orbits that are expanded by subgroups of diagonal matrices and generalize (special cases) of 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 that only depend on the distances between translations.
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