Derksen, Harm G. J. and Masser, David. (2018) Linear equations over multiplicative groups, recurrences, and mixing III. Ergodic Theory and Dynamical Systems, 38 (7). pp. 2625-2643.
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Official URL: https://edoc.unibas.ch/68742/
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Abstract
Given an algebraic -action corresponding to a prime ideal of a Laurent ring of polynomials in several variables, we show how to find the smallest order of non-mixing. It is known that this is determined by the non-mixing sets of size , and we show how to find these in an effective way. When the underlying characteristic is positive and , we prove that there are at most finitely many classes under a natural equivalence relation. We work out two examples, the first with five classes and the second with 134 classes.
| Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser) |
|---|---|
| UniBasel Contributors: | Masser, David |
| Item Type: | Article, refereed |
| Article Subtype: | Research Article |
| Publisher: | Cambridge University Press |
| e-ISSN: | 1469-4417 |
| Note: | Publication type according to Uni Basel Research Database: Journal article |
| Identification Number: | |
| Last Modified: | 05 Aug 2020 15:37 |
| Deposited On: | 05 Aug 2020 15:37 |
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