Approximation of the Height process of a CSBP with interaction

Abstract

In this work, we first show that the properly rescaled height process of the genealogical tree of a continuous time branching process converges to the height process of the genealogy of a (possibly discontinuous) continuous state branching process. We then prove the same type of result for generalized branching processes with interaction.

arXiv admin note: text overlap with arXiv:1304.0710

References in corpus (4)

• Continuous-state branching processes
• Height process for super-critical continuous state branching process
• A general continuous-state nonlinear branching process
• The height process of a continuous state branching process with interaction