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The ergodicity of 1-Lipschitz transformations on 2-adic spheres
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1919-1495
2014 (English)In: Valuation Theory in Interaction / [ed] A. Campillo, F.-V. Kuhlmann, B. Teissier, European Mathematical Society Publishing House, 2014, 596-599 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this paper we present results about ergodicity of dynamical systems on 2-adic spheres for 1-Lipschitz maps f : Z(2) -> Z(2) announced in [8], and extension of Theorem 3 from [8] for the case of spheres of radii greater than 1/8. We propose a new approach to study ergodic properties of 1-Lipschitz transformations of 2-adic spheres. We use a representation of continuous functions f via its van der Put series. This technique allows us to go beyond the classes of smooth 1-Lipschitz transformations which were studied earlier.

Place, publisher, year, edition, pages
European Mathematical Society Publishing House, 2014. 596-599 p.
Series
EMS Series of Congress Reports
Keyword [en]
Dynamical systems, ergodicity, p-adic spheres, van der Put series
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-37976DOI: 10.4171/149-1/26ISI: 000346105800026ISBN: 978-3-03719-149-1 (print)OAI: oai:DiVA.org:lnu-37976DiVA: diva2:760097
Conference
The 2d International Conference and Workshop on Valuation Theory, Segovia and El Escorial, Spain, July 18-29, 2011
Available from: 2014-11-03 Created: 2014-11-03 Last updated: 2015-10-12Bibliographically approved

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CiteExportLink to record
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Citation style
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