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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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