Search for dissertations about: "Michael Benedicks"

Showing result 1 - 5 of 11 swedish dissertations containing the words Michael Benedicks.

  2. 1. Numerical Conformal mappings for regions Bounded by Smooth Curves

    Author : Anders Andersson; Börje Nilsson; Joachim Toft; Michael Benedicks; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Schwarz-Christoffel mapping; rounded corners; tangent polygons; outer polygon; zipper algorithm; Schwarz-Christoffelavbildningen; rundade hörn; tangentpolygoner; yttre polygoner; zipper-algoritmer; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

    Abstract : Inom många tillämpningar används konforma avbildningar för att transformera tvådimensionella områden till områden med enklare utseende. Ett exempel på ett sådant område är en kanal av varierande tjocklek begränsad av en kontinuerligt deriverbar kurva. READ MORE

  4. 2. Numerical Conformal Mappings for Waveguides

    Author : Anders Andersson; Börje Nilsson; Joachim Toft; Michael Benedicks; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; waveguide; building block method; numerical conformal mappings; Schwarz–Christoffel mapping; rounded corners method; approximate curve factors; outer polygon method; boundary curvature; zipper method; geodesic algorithm; acoustic wave scattering; electro-magnetic wave scattering; Applied mathematics; Tillämpad matematik; Mathematics; Matematik;

    Abstract : Acoustic or electro-magnetic scattering in a waveguide with varying direction and cross-section can be re-formulated as a two-dimensional scattering problem, provided that the variations take place in only one dimension at a time. By using the so-called Building Block Method, it is possible to construct the scattering properties of a combination of scatterers when the properties of each scatterer are known. READ MORE

  5. 3. A Numerical Study of the Lorenz and Lorenz-Stenflo Systems

    Author : Tommy Ekola; Michael Benedicks; Robert MacKay; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Warwick Tucker; Strange attractor; Lorenz equations; Lorenz-Stenflo equations; Lorenz attractor; Lorenz-Stenflo attractor; Dynamical systems; Normal form theory; MATEMATIK; MATHEMATICS; MATEMATIK;

    Abstract : In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. READ MORE

  6. 4. Random Loewner Chains

    Author : Carl Fredrik Johansson; Michael Benedicks; Ilia Binder; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Loewner differential equation; Schramm-Loewner evolution; loop-erased random walk; Hastings-Levitov model; MATHEMATICS; MATEMATIK;

    Abstract : This thesis contains four papers and two introductory chapters. It is mainly devoted to problems concerning random growth models related to the Loewner differential equation. READ MORE

  7. 5. Certain results on the Möbius disjointness conjecture

    Author : Davit Karagulyan; Michael Benedicks; Ana Rodrigues; Mariusz Lemanczyk; KTH; []
    Keywords : Dynamical Systems; Ergodic Theory; Number Theory; Mathematics; Matematik;

    Abstract : We study certain aspects of the Möbius randomness principle and more specifically the Möbius disjointness conjecture of P. Sarnak. In paper A we establish this conjecture for all orientation preserving circle homeomorphisms and continuous interval maps of zero entropy. READ MORE