Lévy processes with marked jumps. I: Limit theorems

DOI10.1007/s10959-014-0549-9zbMath1335.60072arXiv1305.6245OpenAlexW2043490039MaRDI QIDQ904707

Cécile Delaporte

Publication date: 13 January 2016

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

Full work available at URL: https://arxiv.org/abs/1305.6245

zbMATH Keywords

Lévy processesinvariance principlelocal timeladder height processsplitting treesupremummarked jumps

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) Genetics and epigenetics (92D10) Local time and additive functionals (60J55)

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Uniform control of local times of spectrally positive stable processes ⋮ Height and contour processes of Crump-Mode-Jagers forests. II: the Bellman-Harris universality class

Cites Work

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• Size-biased and conditioned random splitting trees
• The contour of splitting trees is a Lévy process
• Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case
• Introductory lectures on fluctuations of Lévy processes with applications.
• The Limit of a Sequence of Branching Processes

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