Search for dissertations about: "p.c.f. fractals"
Found 2 swedish dissertations containing the words p.c.f. fractals.
-
1. A Study of Smooth Functions and Differential Equations on Fractals
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
-
2. Combinatorial and analytical problems for fractals and their graph approximations
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