Search for dissertations about: "p.c.f. fractals"

Found 2 swedish dissertations containing the words p.c.f. fractals.

  2. 1. 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

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

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

    Abstract : 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. READ MORE