Supercritical Superprocesses: Proper Normalization and Non-degenerate Strong Limit

Yan-Xia Ren, Renming Song, Rui Zhang

Suppose that $X=\{X_t,t\ge 0;{\mathbb{P}}_{\mu }\}$ is a supercritical superprocess in a locally compact separable metric space $E$. Let ${\varphi }_0$ be a positive eigenfunction corresponding…