Moderate deviation for the single point catalytic super-Brownian motion |
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Authors: | Xu Yang Mei Zhang |
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Affiliation: | 1. School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China
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Abstract: | We establish the moderate deviation for the density process of the single point catalytic super-Brownian motion. The main tools are the abstract G?rtner-Ellis theorem, Dawson-G?rtner theorem and the contraction principle. The rate function is expressed by the Fenchel-Legendre transform of log-exponential moment generation function. |
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Keywords: | Super-Brownian motion catalytic conditional log-Laplace functional locally uniform moderate deviation |
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