On Hyperbolic Fixed Points in Ultrametric Dynamics

被引：0

作者：

Lindahl, Karl-Olof ^{[1
]}

Zieve, Michael ^{[2
]}

机构：

[1] Linnaeus Univ, Sch Comp Sci Phys & Math, S-35195 Vaxjo, Sweden

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2010年 / 2卷 / 03期

基金：

美国国家科学基金会;

关键词：

dynamical system; linearization; conjugacy; ultrametric field;

D O I：

10.1134/S2070046610030052

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series over K near hyperbolic fixed points. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. In particular, at repelling fixed points, the linearization disc is equal to the maximal disc on which the power series is injective.

引用

页码：232 / 240

页数：9

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