Diffusions on a space of interval partitions: Poisson-Dirichlet stationary distributions

DOI10.1214/20-AOP1460zbMath1486.60100arXiv1910.07626MaRDI QIDQ2039416

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

Publication date: 2 July 2021

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07626

zbMATH Keywords

excursion theoryPoisson-Dirichlet distributioninterval partitioninfinitely-many-neutral-alleles modelAldous diffusion

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Diffusion processes (60J60) Random measures (60G57) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Local time and additive functionals (60J55)

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