Effective Multiple Equidistribution of Translated Measures-Reference-Cited by-同舟云学术

Effective Multiple Equidistribution of Translated Measures

Published:2021-10-01 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Björklund Michael¹,Gorodnik Alexander²

Affiliation:

1. Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96 Göteborg, Sweden

2. Institut für Mathematik, Universität Zürich, Winterthurerstrasse, 190 8057 Zürich, Switzerland

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.

Funder

Swedish Research Council

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab274/40499263/rnab274.pdf

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