A large deviation for occupation time of critical branching α-stable process

A large deviation for occupation time of critical branching α-stable process

In this paper we establish a large deviation principle for the occupation times of critical branching α -stable processes for large dimensions d > 2 α , by investigating two related nonlinear differential equations. Our result is an extension of Cox and Griffeath’s (in 1985) for branching Brownia...

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Veröffentlicht in:Science China. Mathematics 2011-07, Vol.54 (7), p.1445-1456
Hauptverfasser: Li, QiuYue, Ren, YanXia
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we establish a large deviation principle for the occupation times of critical branching α -stable processes for large dimensions d > 2 α , 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.
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-011-4209-6