| A large deviation for occupation time of critical branching α-stable process |
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| 基金项目： | supported by National Natural Science Foundation of China (Grant Nos. 10971003 and 10926110); Chinese Universities Scientific Fund (Grant No. 2009-2-05); supported by National Natural Science Foundation of China (Grant Nos. 10871103 and 10971003); Specialized Research Fund for the Doctoral Program of Higher Education |
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| 摘 要： | In this paper we establish a large deviation principle for the occupation times of critical branching α-stable processes for large dimensions d > 2α, by investigating two related nonlinear differential equations. Our result is an extension of Cox and Griffeath’s (in 1985) for branching Brownian motion for d > 4.
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| 关 键 词： | large deviation critical branching α-stable process occupation time |
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