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Moderate Deviation for the Single Point Catalytic Super-Brownian Motion

Moderate Deviation for the Single Point Catalytic Super-Brownian Motion
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摘要 We establish the moderate deviation for the density process of the single point catalytic super-Brownian motion. The main tools are the abstract Gaertner-Ellis theorem, Dawson-Gaertner the- orem and the contraction principle. The rate function is expressed by the Fenchel-Legendre transform of log-exponential moment generation function. We establish the moderate deviation for the density process of the single point catalytic super-Brownian motion. The main tools are the abstract Gaertner-Ellis theorem, Dawson-Gaertner the- orem and the contraction principle. The rate function is expressed by the Fenchel-Legendre transform of log-exponential moment generation function.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第9期1799-1808,共10页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 11071021)
关键词 Super-Brownian motion CATALYTIC conditional log-Laplace functional locally uniform moderate deviation Super-Brownian motion, catalytic, conditional log-Laplace functional, locally uniform, moderate deviation
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