Self-similar signed growth-fragmentations

DOI10.1214/23-ejp937zbMath1527.60036arXiv2101.02582MaRDI QIDQ6165201

William da Silva

Publication date: 4 July 2023

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

Full work available at URL: https://arxiv.org/abs/2101.02582

zbMATH Keywords

excursion theorystable processspinal decompositiongrowth-fragmentation processreal-valued self-similar Markov process

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Stable stochastic processes (60G52)

Cites Work

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• Growth-fragmentation processes and bifurcators
• Markovian growth-fragmentation processes
• Scaling limits of random planar maps with large faces
• Growth-fragmentation processes in Brownian motion indexed by the Brownian tree
• Martingales in self-similar growth-fragmentations and their connections with random planar maps
• Conditioned real self-similar Markov processes
• Fluctuations of stable processes and exponential functionals of hypergeometric Lévy processes
• Real self-similar processes started from the origin
• Simple conformal loop ensembles on Liouville quantum gravity
• Growth-fragmentation process embedded in a planar Brownian excursion
• The Lamperti representation of real-valued self-similar Markov processes
• The hitting time of zero for a stable process
• On the exponential functional of Markov Additive Processes, and applications to multi-type self-similar fragmentation processes and trees
• Stable Lévy Processes via Lamperti-Type Representations
• Semi-stable Markov processes. I
• Conditioned stable Lévy processes and the Lamperti representation