Généalogie et Q-processus

Abstract : This work is concerned with the definition and study of the Q-process of some branching processes (inhomogeneous superprocesses) or recombination processes (Lambda-Fleming-Viot process). In the first case, the Q-process is defined as the process conditioned on non-extinction, whereas in the second case, it is defined as the process conditioned on non-absorbtion. A pathwise construction of the Q-process is given in both cases. A link between a class of homogeneous superprocesses and Lambda-Fleming-Viot processes is provided. Last, a study of the Q-process in the more general framework of regenerative processes is performed
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Olivier Hénard. Généalogie et Q-processus. Mathématiques générales [math.GM]. Université Paris-Est, 2012. Français. ⟨NNT : 2012PEST1084⟩. ⟨tel-00763378v2⟩

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