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Found 2 swedish dissertations matching the above criteria.

2. 1. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

   Author : Karl-Olof Lindahl; Andrei Khrennikov; Franco Vivaldi; Växjö universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; dynamical system; linearization; conjugation; non-Archimedean field; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; Mathematics; Matematik;

   Abstract : We consider the problem of local linearization of power series defined over complete valued fields. The complex field case has been studied since the end of the nineteenth century, and renders a delicate number theoretical problem of small divisors related to diophantine approximation. READ MORE

4. 2. Residue fixed point index and wildly ramified power series

   Author : Jonas Nordqvist; Karl-Olof Lindahl; Robert Laurent Benedetto; Linnéuniversitetet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; wildly ramified power series; residue fixed point index; formal invariant; iterative residue; ramification numbers; non-archimedean; discrete dynamical systems; arithmetic dynamics; periodic points; Nottingham group; Mathematics; Matematik;

   Abstract : This thesis concerns discrete dynamical systems. These are systems where the dynamics is modeled by iterated functions. There are several applications of discrete dynamical system e.g. READ MORE