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arXiv:1212.3548 [math.PR]AbstractReferencesReviewsResources

Quasi-stationary distributions associated with explosive CSBP

Cyril Labbé

Published 2012-12-14, updated 2013-10-16Version 2

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.

Comments: 13 pages
Journal: Electronic Communications in Probability 18, 57 (2013) 1-13
Categories: math.PR
Subjects: 60J80, 60F05
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