Szegedy, Balázs (2018) Limits of functions on groups. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 370 (11). pp. 8135-8153. ISSN 0002-9947
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Official URL: https://doi.org/10.1090/tran/7432
Abstract
Our goal is to develop a limit approach for a class of problems in additive combinatorics that is analogous to the limit theory of dense graph sequences. We introduce a metric, convergence and limit objects for functions on discrete groups and use it to study limits of measurable functions on compact abelian groups. As an application we find exact minimizers for densities of linear configurations of complexity 1. © 2018 American Mathematical Society.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 14 Jan 2019 14:04 |
| Last Modified: | 14 Jan 2019 14:04 |
| URI: | http://real.mtak.hu/id/eprint/89855 |
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