Search for dissertations about: "Analysis on fractals"

Showing result 1 - 5 of 10 swedish dissertations containing the words Analysis on fractals.

  2. 1. Multiwavelet analysis on fractals

    Author : Andreas Brodin; Alf Jonsson; Per-Anders Ivert; Umeå universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Wavelets; Fractals; Pointwise convergence; Besov spaces; Regularization; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of an introduction and a summary, followed by two papers, both of them on the topic of function spaces on fractals. Paper I: Andreas Brodin, Pointwise Convergence of Haar type Wavelets on Self-Similar Sets, Manuscript. READ MORE

  4. 2. Spectral graph theory on Pre-fractals

    Author : Konstantinos Tsougkas; Anders Karlsson; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fractals;

    Abstract : .... READ MORE

  5. 3. A Study of Smooth Functions and Differential Equations on Fractals

    Author : Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
    Keywords : Mathematical analysis; Analysis on fractals; p.c.f. fractals; Sierpinski gasket; Laplacian; differential equations on fractals; infinite dimensional i.f.s.; invariant measure; harmonic functions; smooth functions; derivatives; products of random matrices; Matematisk analys;

    Abstract : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. READ MORE

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

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

    Abstract : 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.. READ MORE

  7. 5. Properties of heavy rainfall in an East Asian monsoon catchment - Analysis of daily rain gauge data

    Author : Cecilia Svensson; Avdelningen för Teknisk vattenresurslära; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; China.; Huai River; East Asian monsoon; typhoon; Mei-Yu front; fractals; empirical orthogonal function analysis; correlation analysis; probable maximum precipitation; storm movement; seasonal occurrence; Rainfall; spatial pattern; Hydrogeology; geographical and geological engineering; Hydrogeologi; teknisk geologi; teknisk geografi; Geophysics; physical oceanography; meteorology; Geofysik; fysisk oceanografi; meteorologi;

    Abstract : The East Asian monsoon has a strong seasonal effect on the rainfall regime of Eastern China. In order to mitigate floods and conserve the water for use throughout the year, dams and other hydro-structures are built. The design of the structures requires knowledge of the rainfall characteristics that influence the inflow to them. READ MORE