Sökning: "Sierpinski gasket"

Hittade 4 avhandlingar innehållade orden Sierpinski gasket.

  1. 1. A Study of Smooth Functions and Differential Equations on Fractals

    Författare :Anders Pelander; Anders Öberg; Svante Janson; Alexander Teplyaev; Tom Lindström; Uppsala universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  3. 2. Characterisations of function spaces on fractals

    Författare :Mats Bodin; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

    Sammanfattning : This thesis consists of three papers, all of them on the topic of function spaces on fractals.The papers summarised in this thesis are:Paper I Mats Bodin, Wavelets and function spaces on Mauldin-Williams fractals, Research Report in Mathematics No. 7, Umeå University, 2005. LÄS MER

  4. 3. Combinatorial and analytical problems for fractals and their graph approximations

    Författare :Konstantinos Tsougkas; Anders Karlsson; Anders Öberg; Ben Hambly; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Fractal graphs; energy Laplacian; Kusuoka measure; Mathematics; Matematik;

    Sammanfattning : The recent field of analysis on fractals has been studied under a probabilistic and analytic point of view. In this present work, we will focus on the analytic part developed by Kigami. The fractals we will be studying are finitely ramified self-similar sets, with emphasis on the post-critically finite ones. LÄS MER

  5. 4. Multiwavelet analysis on fractals

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

    Sammanfattning : 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. LÄS MER