Linear equations over multiplicative groups, recurrences, and mixing III

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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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
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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