Local extinction versus local exponential growth for spatial branching processes
نویسندگان
چکیده
منابع مشابه
Local Extinction versus Local Exponential Growth for Spatial Branching Processes
Let X be either the branching diffusion corresponding to the operator Lu + β(u2 − u) on D ⊆ Rd [where β(x) ≥ 0 and β ≡ 0 is bounded from above] or the superprocess corresponding to the operator Lu + βu − αu2 on D ⊆ Rd (with α > 0 and β is bounded from above but no restriction on its sign). Let λc denote the generalized principal eigenvalue for the operator L + β on D. We prove the following dic...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2004
ISSN: 0091-1798
DOI: 10.1214/aop/1078415829