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Excursion theory for Markov processes indexed by Levy trees

math.PR · 2024-11-19 · conditional · novelty 8.0

Excursions of a tree-indexed Markov process away from a recurrent point x form a Poisson point process with intensity given by a new excursion measure, and the genealogy of the excursions is itself a Lévy tree.

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  • Excursion theory for Markov processes indexed by Levy trees math.PR · 2024-11-19 · conditional · none · ref 37

    Excursions of a tree-indexed Markov process away from a recurrent point x form a Poisson point process with intensity given by a new excursion measure, and the genealogy of the excursions is itself a Lévy tree.