Quasi-stationary distributions associated with explosive CSBP

Cyril Labbé (1)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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.

Domaines: Probabilités [math.PR]

Cyril Labbé. Quasi-stationary distributions associated with explosive CSBP. Electronic Communications in Probability, 2013, 18. ⟨hal-00765880⟩