Comparison results and steady states for the Fujita equation with fractional laplacian
Fluctuation limit theorems for age-dependent critical binary branching systems
We consider an age-dependent branching particle system in ℝ, where the particles are subject to -stable migration (0 < ≤ 2), critical binary branching, and general (non-arithmetic) lifetimes distribution. The population starts off from a Poisson random field in ℝ with Lebesgue intensity. We prove functional central limit theorems and strong laws of large numbers under two rescalings: high particle density, and a space-time rescaling...
Blowup and life span bounds for a reaction-diffusion equation with a time-dependent generator.
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