## Transition density asymptotics for some diffusion processes with multi-fractal structures.(English)Zbl 0974.60061

Summary: 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.

### MSC:

 60J60 Diffusion processes 31C25 Dirichlet forms 60J65 Brownian motion
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