Eternal additive coalescents and certain bridges with exchangeable increments

DOI10.1214/aop/1008956333zbMath1019.60072OpenAlexW1573705578MaRDI QIDQ1872188

Jean Bertoin

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1008956333

zbMATH Keywords

fragmentationadditive coalescentbridge with exchangeable increments

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Exchangeability for stochastic processes (60G09)

Related Items

Eternal solutions to Smoluchowski's coagulation equation with additive kernel and their probabilistic interpretations ⋮ A representation of exchangeable hierarchies by sampling from random real trees ⋮ Gravitational clustering and additive coalescence ⋮ Critical percolation on scale-free random graphs: new universality class for the configuration model ⋮ A one-dimensional coagulation-fragmentation process with a dynamical phase transition ⋮ Universality in one-dimensional hierarchical coalescence processes ⋮ Dini derivatives and regularity for exchangeable increment processes ⋮ On the equivalence of some eternal additive coalescents ⋮ The eternal multiplicative coalescent encoding via excursions of Lévy-type processes

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