On hyperbolic fixed points in ultrametric dynamics

Details On hyperbolic fixed points in ultrametric dynamics On hyperbolic fixed points in ultrametric dynamics

2011-11-08

arxiv.org/abs/1111.2000v1

p-Adic Numbers, Ultrametric Analysis and Applications, Vol. 2, No 3, pp. 232-240, 2010

Mathematics

Dynamical Systems

http://www.springerlink.com/content/?k=doi%3a%2810.1134%2fS2070046610030052%29

Scientific paper

10.1134/S2070046610030052

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.

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