Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
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Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00208-007-0169-0.pdf
Reference18 articles.
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3. Goldstein, S.: Random walks and diffusions on fractals. In: Kesten, H. (ed.) Percolation Theory and Ergodic Theory of Infinite Particle Systems, IMA Math. Appl., vol. 8, pp. 121–129. Springer, Heidelberg (1987)
4. Grigor’yan, A.: The heat equation on noncompact Riemannian manifolds (in Russian). Mat. Sb. 182, 55–87 (1991). English translation in Math. USSR-Sb. 72, 47–77 (1992)
5. Kigami, J.: Volume doubling measures and heat kernel estimates on self-similar sets. Mem. Am. Math. Soc. (to appear)
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