Sökning: "random fractals"

Hittade 5 avhandlingar innehållade orden random fractals.

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

    Författare :Filipe Mussini; Erik I. Broman; Hermine Biermé; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Poisson point process; Percolation; Boolean model; Quasi-isometries; Cover times; Poisson cylinder process; Ellipsoid process; Phase transition; Random fractals; Mathematics; Matematik;

    Sammanfattning : 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. LÄS MER

  3. 2. Harmonic measure on random fractals

    Författare :Dmitri Beliaev; Stanislav Smirnov; Ilia Binder; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; mathematics; 30C85; 31A15; Matematik; MATHEMATICS; MATEMATIK;

    Sammanfattning : .... LÄS MER

  4. 3. 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

  5. 4. Unsaturated Solute Transport in a Semiarid Catchment - Nonlinear Analyses and Modelling

    Författare :Pernilla Öhrström; Avdelningen för Teknisk vattenresurslära; []
    Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; teknisk geografi; Hydrogeologi; teknisk geologi; unsaturated zone; Hydrogeology; geographical and geological engineering; solute transport; scaling; soils; semiarid regions; heterogeneity; preferential flow; fractals;

    Sammanfattning : Unsaturated solute transport is highly variable and therefore difficult to predict. In semi-arid areas, where water resources are limited, the presence of macropores is of great importance for crop production. The bromide ion (Br-) and dye tracers are useful for studies of water movement. LÄS MER

  7. 5. 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