Search for dissertations about: "infinite dimensional i.f.s."

Found 1 swedish dissertation containing the words infinite dimensional i.f.s..

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