Sökning: "Conformal maps"

Visar resultat 1 - 5 av 7 avhandlingar innehållade orden Conformal maps.

  1. 1. Conformal Maps, Bergman Spaces, and Random Growth Models

    Författare :Alan Sola; Haakan Hedenmalm; Robert Berman; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conformal maps; Bergman kernels; planar growth models; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of an introduction and five research papers on topics related to conformal mapping, the Loewner equation and its applications, and Bergman-type spaces of holomorphic functions. The first two papers are devoted to the study of integral means of derivatives of conformal mappings. LÄS MER

  3. 2. Nontypical Behaviour of Orbits and Birkhoff Averages for Expanding Maps

    Författare :David Färm; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; expanding maps; beta-shifts; large intersection classes; Hausdorff dimension;

    Sammanfattning : This thesis consists of an introductory chapter followed by five papers. In the first paper, expanding maps on the unit interval are considered. The set of points for which the forward orbit is bounded away from a given point is studied. It is shown that this set has full Hausdorff dimension and that it has large intersection properties. LÄS MER

  4. 3. Harmonic morphisms, Hermitian structures and symmetric spaces

    Författare :Martin Svensson; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; isotropic subbundles; conformal foliations; holomorphic maps; harmonic morphism;

    Sammanfattning : A harmonic morphism is a map between two Riemannian manifolds with the property that its composition with a local harmonic function on the codomain is a local harmonic function on the domain. Such a map is automatically a harmonic map, satisfying an additional partial conformality condition called horizontal (weak) conformality. LÄS MER

  5. 4. On two-dimensional conformal geometry related to the Schramm-Loewner evolution

    Författare :Lukas Schoug; Fredrik Viklund; Nathanaël Berestycki; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Conformal invariance; scaling; random fractals; Mathematics; Matematik;

    Sammanfattning : This thesis contains three papers, one introductory chapter and one chapter with overviews of the papers and some additional results. The topic of this thesis is the geometry of models related to the Schramm-Loewner evolution.In Paper I, we derive a multifractal boundary spectrum for SLEκ(ρ) processes with κ.. LÄS MER

  7. 5. Numerical Conformal Mappings for Regions Bounded by Smooth Curves

    Författare :Anders Andersson; Jönköping University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Schwarz–Christoffel mapping; rounded corners; tangent polygons; outer polygon; zipper algorithm; Applied mathematics; Tillämpad matematik; Numerical analysis; Numerisk analys;

    Sammanfattning : In many applications, conformal mappings are used to transform twodimensional regions into simpler ones. One such region for which conformal mappings are needed is a channel bounded by continuously differentiable curves. LÄS MER