Sökning: "Diophantine approximation"

Hittade 3 avhandlingar innehållade orden Diophantine approximation.

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

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

    Sammanfattning : 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. LÄS MER

  3. 2. Dynamics of Smooth Hyperbolic Systems with Singularities

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

    Sammanfattning : 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. LÄS MER

  4. 3. On the linearization of non-Archimedean holomorphic functions near an indifferent fixed point

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

    Sammanfattning : 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. LÄS MER