Quasi-stationary distributions associated with explosive CSBP

Abstract

We characterise all the quasi-stationary distributions and the Q-process associated with a continuous state branching process that explodes in finite time. We also provide a rescaling for the continuous state branching process conditioned on non-explosion when the branching mechanism is regularly varying at 0.

arXiv comment13 pages

Cited by in corpus (1)

• Quasi-stationary distributions for subcritical superprocesses