Diffusions on a space of interval partitions: construction from marked Lévy processes

DOI10.1214/20-EJP521zbMath1470.60210arXiv1909.02584MaRDI QIDQ2024520

Matthias Winkel, Soumik Pal, Douglas Rizzolo, Noah Mills Forman

Publication date: 4 May 2021

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.02584

zbMATH Keywords

branching processesexcursion theoryRay-Knight theoreminterval partitionself-similar diffusioninfinitely-many-neutral-alleles modelAldous diffusion

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Diffusion processes (60J60) Self-similar stochastic processes (60G18) Stable stochastic processes (60G52) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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