Search for dissertations about: "Diophantine approximation"

Found 3 swedish dissertations containing the words Diophantine approximation.

  2. 1. On numbers badly approximable by q-adic rationals

    Author : Johan Nilsson; Matematik LTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Number theory; Symbolic dynamics; Combinatorics on words; Badly approximable numbers; Diophantine approximation; Mathematics; Matematik; Dynamical systems;

    Abstract : The thesis takes as starting point diophantine approximation with focus on the area of badly approximable numbers. For the special kind of rationals, the q-adic rationals, we consider two types of approimations models, a one-sided and a two-sided model, and the sets of badly approximable numbers they give rise to. READ MORE

  4. 2. Dynamics of Smooth Hyperbolic Systems with Singularities

    Author : Tomas Persson; Dynamiska system; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Dimension Theory; Hyperbolic Dynamics; Subshift; SRB-measure;

    Abstract : This thesis is about dynamics of piecewise hyperbolic maps on bounded sets in the plane and on the interval. It is based on the following papers: T. Persson, A piecewise hyperbolic map with absolutely continuous invariant measure, Dynamical Systems: An International Journal, 21:3 (2006), 363--378 T. READ MORE

  5. 3. 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