Search for dissertations about: "fractals"

Showing result 1 - 5 of 19 swedish dissertations containing the word fractals.

  1. 1. Multiwavelet analysis on fractals

    University dissertation from Umeå : Matematik och matematisk statistik

    Author : Andreas Brodin; Umeå universitet.; [2007]
    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.Paper II: Andreas Brodin,Regularization of Wavelet Expansion characterizes Besov Spaces on Fractals, Manuscript. READ MORE

  2. 2. Characterisations of function spaces on fractals

    University dissertation from Umeå : Matematik och matematisk statistik

    Author : Mats Bodin; Umeå universitet.; [2005]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

    Abstract : 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. READ MORE

  3. 3. Spectral graph theory on Pre-fractals

    University dissertation from Uppsala : Uppsala University

    Author : Konstantinos Tsougkas; Uppsala universitet.; [2017]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Fractals;

    Abstract : .... READ MORE

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

    University dissertation from Uppsala : Matematiska institutionen

    Author : Anders Pelander; Uppsala universitet.; [2007]
    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

  5. 5. Selected Topics in Continuum Percolation Phase Transitions, Cover Times and Random Fractals

    University dissertation from Uppsala : Department of Mathematics

    Author : Filipe Mussini; Uppsala universitet.; [2019]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Poisson point process; Percolation; Boolean model; Quasi-isometries; Cover times; Poisson cylinder process; Ellipsoid process; Phase transition; Random fractals; Mathematics; Matematik;

    Abstract : This thesis consists of an introduction and three research papers. The subject is probability theory and in particular concerns the topics of percolation, cover times and random fractals.Paper I deals with the Poisson Boolean model in locally compact Polish metric spaces. READ MORE