The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent

zbMath1329.60271arXiv1410.7354MaRDI QIDQ5248334

Martin Möhle

Publication date: 7 May 2015

Full work available at URL: https://arxiv.org/abs/1410.7354

zbMATH Keywords

weak convergencescaling limitstable distributionsmarginal distributionsBolthausen-Sznitman coalescentcontinuous-state branching processMittag-Leffler processblock counting process

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Problems related to evolution (92D15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17) Continuous-time Markov processes on discrete state spaces (60J27)

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