Abstract
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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Li, Q., Ren, Y. A large deviation for occupation time of critical branching α-stable process. Sci. China Math. 54, 1445–1456 (2011). https://doi.org/10.1007/s11425-011-4209-6
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DOI: https://doi.org/10.1007/s11425-011-4209-6