Growth-fragmentation process embedded in a planar Brownian excursion

DOI10.1007/S00440-022-01119-YzbMath1495.60007arXiv2005.06372OpenAlexW3024868758MaRDI QIDQ2139998

William da Silva, Elie E. F. Aidekon

Publication date: 20 May 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06372

zbMATH Keywords

excursion theoryplanar Brownian motionself-similar Markov processgrowth-fragmentation process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Brownian half‐plane excursion and critical Liouville quantum gravity ⋮ A growth-fragmentation model connected to the ricocheted stable process ⋮ Self-similar signed growth-fragmentations

Cites Work

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• The Lamperti representation of real-valued self-similar Markov processes
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• Conditioned stable Lévy processes and the Lamperti representation
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