We construct a theory of distributions in the setting of analysis on post-critically finite self-
similar fractals, and on fractafolds and products based on such fractals. The results include …

We define and study intrinsic first order derivatives on post critically finite fractals and prove
differentiability almost everywhere with respect to self-similar measures for certain classes of …

This paper continues the study of fundamental properties of elementary functions on the
Sierpinski gasket (SG) related to the Laplacian defined by Kigami: harmonic functions …

We consider the energy Laplacian Δν on the Sierpinski gasket (SG), which is defined by the
standard self-similar energy E and the Kusuoka measure, and is different from the standard …

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 …

Resistance of random Sierpiński gaskets Page 132 http://dx. doi. org/10.1090/conm/415/07864
Contemporary Mathematics Volume 415, 2006 Resistance of random Sierpiński gaskets Daniel …

We prove the existence of an infinitesimal resistance metric on the Sierpinski gasket (SG) at
boundary points, junction points and periodic points. This is a renormalized limit of the …