%0 Book Section %1 barlow2003kernels %A Barlow, Martin T. %B Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002) %C Providence, RI %D 2003 %I Amer. Math. Soc. %K fractal_landscape fractal_sets graph_theory heat_kernel %P 11--40 %R 10.1090/conm/338/06069 %T Heat kernels and sets with fractal structure %U http://dx.doi.org/10.1090/conm/338/06069 %V 338 %X n these notes I will concentrate mainly on heat kernel estimates on 'pre-fractal graphs'- for what these are see below. In the final section I will then explain briefly how these estimates can be used to define diffusion processes on some regular true fractal sets. For other (mathematical) surveys of this area see 3, 49, and Kigami's book 33. A survey of the physics literature can be found in 29.

@incollection{barlow2003kernels, abstract = {n these notes I will concentrate mainly on heat kernel estimates on 'pre-fractal graphs'- for what these are see below. In the final section I will then explain briefly how these estimates can be used to define diffusion processes on some regular true fractal sets. For other (mathematical) surveys of this area see [3], [49], and Kigami's book [33]. A survey of the physics literature can be found in [29]. }, added-at = {2013-09-04T21:15:19.000+0200}, address = {Providence, RI}, author = {Barlow, Martin T.}, biburl = {https://www.bibsonomy.org/bibtex/2785e3bbb9167de17b68a7d447c6cd269/peter.ralph}, booktitle = {Heat kernels and analysis on manifolds, graphs, and metric spaces ({P}aris, 2002)}, description = {MR: Publications results for "MR Number=(2039950)"}, doi = {10.1090/conm/338/06069}, interhash = {ce247811069955b33e07e7768a6c2ffd}, intrahash = {785e3bbb9167de17b68a7d447c6cd269}, keywords = {fractal_landscape fractal_sets graph_theory heat_kernel}, mrclass = {60J27 (28A80 58J35 60B99)}, mrnumber = {2039950 (2005e:60166)}, mrreviewer = {Ren{\'e} L. Schilling}, pages = {11--40}, publisher = {Amer. Math. Soc.}, series = {Contemp. Math.}, timestamp = {2013-09-04T21:15:19.000+0200}, title = {Heat kernels and sets with fractal structure}, url = {http://dx.doi.org/10.1090/conm/338/06069}, volume = 338, year = 2003 }