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Large deviations for super-Brownian motion with immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
We derive a large-deviation principle for super-Brownian motion with immigration, where the immigration is governed by the Lebesgue measure. We show that the speed function is t 1/2 for d = 1, t/logt for d = 2 and t for d ≥ 3, which is different from that of the occupation-time process counterpart (without immigration) and the model of random immigration.
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- Copyright © Applied Probability Trust 2004
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