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Linearization in Ultrametric Dynamics in Fields of Characteristic Zero — Equal Characteristic Case
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Matematik)ORCID iD: 0000-0002-7825-4428
2009 (English)In: P-Adic Numbers, Ultrametric Analysis, and Applications, ISSN 2070-0466, E-ISSN 2070-0474, Vol. 1, no 4, p. 307-316Article in journal (Refereed) Published
Abstract [en]

Let K be a complete ultrametric field of characteristic zero whose corresponding residue field k is also of characteristic zero. We give lower and upper bounds for the size of linearization disks for power series over K near an indifferent fixed point. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. Similar estimates in the remaining cases, i.e. the cases in which K is either a p-adic field or a field of prime characteristic, were obtained in various papers on the p-adic case [5, 18, 35, 42] later generalized in [28, 30], and in [29, 31] concerning the prime characteristic case.

Place, publisher, year, edition, pages
Berlin, Heidelberg, New York: Springer , 2009. Vol. 1, no 4, p. 307-316
Keywords [en]
dynamical system, linearization, conjugacy, ultrametric field
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-7338DOI: 10.1134/S2070046609040049OAI: oai:DiVA.org:vxu-7338DiVA, id: diva2:300136
Available from: 2010-02-25 Created: 2010-02-25 Last updated: 2017-12-12Bibliographically approved

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Publisher's full texthttp://www.springerlink.com/content/2070-0466

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Lindahl, Karl-Olof

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