Dirichlet forms on fractals and products of random matrices

  title={Dirichlet forms on fractals and products of random matrices},
  author={Shigeo Kusuoka},
  journal={Publications of The Research Institute for Mathematical Sciences},
  • S. Kusuoka
  • Published 1 October 1989
  • Mathematics
  • Publications of The Research Institute for Mathematical Sciences
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. 
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