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Björklund, Michael; Gorodnik, Alexander (2023). Effective Multiple Equidistribution of Translated Measures. International Mathematics Research Notices, 2023(1):210-242.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | General Mathematics 37A17 (22E46) |
| Language: | English |
| Date: | 5 January 2023 |
| Deposited On: | 10 Feb 2023 10:18 |
| Last Modified: | 25 Feb 2025 02:43 |
| Publisher: | Oxford University Press |
| ISSN: | 1073-7928 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1093/imrn/rnab274 |
| Other Identification Number: | MR4530108 |
Björklund, Michael