Hydrodynamic Limit Fluctuations of Super-brownian Motion with a Stable Catalyst
نویسنده
چکیده
We consider the behaviour of a continuous super-Brownian motion catalysed by a random medium with infinite overall density under the hydrodynamic scaling of mass, time, and space. We show that, in supercritical dimensions, the scaled process converges to a macroscopic heat flow, and the appropriately rescaled random fluctuations around this macroscopic ∗Supported by the DFG, EPSRC grant EP/C500229/1, and an EPSRC Advanced Research Fellowship
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تاریخ انتشار 2005