%0 Journal Article %T Quasi-stationary distributions associated with explosive CSBP %A Cyril Labb¨¦ %J Mathematics %D 2012 %I arXiv %R 10.1214/ECP.v18-2508 %X 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. %U http://arxiv.org/abs/1212.3548v2