Eternal solutions to Smoluchowski's coagulation equation with additive kernel and their probabilistic interpretations
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Publication:1872379
DOI10.1214/aoap/1026915615zbMath1030.60036OpenAlexW2046724876MaRDI QIDQ1872379
Publication date: 6 May 2003
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoap/1026915615
Processes with independent increments; Lévy processes (60G51) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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Cites Work
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- Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
- Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
- The standard additive coalescent
- Construction of Markovian coalescents
- A fragmentation process connected to Brownian motion
- Applications of the continuous-time ballot theorem to Brownian motion and related processes.
- Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent
- Eternal additive coalescents and certain bridges with exchangeable increments
- A pure jump Markov process associated with Smoluchowski's coagulation equation
- Limit distributions and random trees derived from the birthday problem with unequal probabilities
- Phase transition for Parking blocks, Brownian excursion and coalescence
- The Limit of a Sequence of Branching Processes
- Continuous state branching processes
- On the Scalar Transport Equation
- Ordered additive coalescent and fragmentations associated to Lévy processes with no positive jumps
