The author studies Dirichlet forms on fractals. He constructs some local Dirichlet forms on abstract fractal sets by using products of random matrices. Also, he studies the martingale dimension of the associated diffusion processes and its self-similarity.
Cite this article
Shigeo Kusuoka, Dirichlet Forms on Fractals and Products of Random Matrices. Publ. Res. Inst. Math. Sci. 25 (1989), no. 4, pp. 659–680DOI 10.2977/PRIMS/1195173187