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Heat kernels and sets with fractal structure

. Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002), volume 338 of Contemp. Math., Amer. Math. Soc., Providence, RI, (2003)
DOI: 10.1090/conm/338/06069

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Diffusions on fractals. Lectures on Probability Theory and Statistics, volume 1690 of Lecture Notes in Mathematics, Springer Berlin Heidelberg, (1998)Characterization of sub-Gaussian heat kernel estimates on strongly recurrent graphs, , and . Comm. Pure Appl. Math., 58 (12): 1642--1677 (2005)Transition densities for Brownian motion on the Sierpiński carpet, and . Probab. Theory Related Fields, 91 (3-4): 307--330 (1992)Collisions of random walks, , and . Ann. Inst. Henri Poincaré Probab. Stat., 48 (4): 922--946 (2012)Spectral dimension and random walks on the two dimensional uniform spanning tree, and . Comm. Math. Phys., 305 (1): 23--57 (2011)Heat kernels and sets with fractal structure. Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002), volume 338 of Contemp. Math., Amer. Math. Soc., Providence, RI, (2003)