Diffusion on a space of interval partitions: Construction from marked Lévy processes

Consider a spectrally positive Stable(1+α) process whose jumps we interpret as lifetimes of individuals. We mark the jumps by continuous excursions assigning “sizes” varying during the lifetime. As for Crump–Mode–Jagers processes (with “characteristics”), we consider for each level the collection of...

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Bibliographic Details
Main Authors: Forman, N, Pal, S, Rizzolo, D, Winkel, M
Format: Journal article
Language:English
Published: Institute of Mathematical Statistics 2020