Search for dissertations about: "non-Archimedean"

Found 3 swedish dissertations containing the word non-Archimedean.

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

5. 3. Pluripotential-theoretic methods in K-stability and the space of Kähler metrics

   Author : Mingchen Xia; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; quasi-plurisubharmonic functions; K-stability; cscK metrics;

   Abstract : It is a natural problem, dating back to Calabi, to find canonical metrics on complex manifolds. In the case of polarized compact Kähler manifolds, a natural candidate is a metric with constant scalar curvature (cscK metric). READ MORE