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Transition Density Asymptotics for Some Diffusion Processes with Multi-Fractal Structures

   
@article{EJP82,
	author = {Martin Barlow and Takashi Kumagai},
	title = {Transition Density Asymptotics for Some Diffusion Processes with Multi-Fractal Structures},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {6},
	year = {2001},
	keywords = {Diffusion process, heat equation, transition density,  spectral dimension, multi-fractal},
	abstract = {We study the asymptotics as $t \to 0$ of the transition density  of a class of $\mu$-symmetric diffusions in the case when the measure  $\mu$ has a multi-fractal structure. These diffusions include  singular time changes of Brownian motion on the unit cube.},
	pages = {no. 9, 1-23},
	issn = {1083-6489},
	doi = {10.1214/EJP.v6-82},    
        url = {http://ejp.ejpecp.org/article/view/82}}