Local large deviation principles are established in dimensions d \ 3 for the super Brownian motion with random immigration X + t , where the immigration rate is governed by the trajectory of another super-Brownian motion +. The speed function is t for d \ 4 and t 1/2 for d=3, compared with the existing results, the interesting phenomenon happened in d=4… (More)
Moderate deviation principles are established in dimensions d ≥ 3 for the super Brownian motion with random immigration X t , where the immigration rate is governed by the trajectory of another super-Brownian motion. It fills in the gap between the central limit theorem and the large deviation principles for this model which obtained by Hong & Li (1999) and… (More)
The occupation time of a super Brownian motion with immigration governed by the trajectory of another super-Brownian motion is considered, a large deviation principle is obtained for dimension d ≥ 7.
OBJECTIVE To explore and analyze the influencing factors of facial nerve function retainment after microsurgery resection of acoustic neurinoma. METHODS Retrospective analysis of our hospital 105 acoustic neuroma cases from October, 2006 to January 2012, in the group all patients were treated with suboccipital sigmoid sinus approach to acoustic neuroma… (More)
A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension d ≥ 4. At the critical dimension d = 4, the quenched and annealed fluctuations are of the same order but are not equal.