On some stochastic coalescents

Probability Theory and Related Fields

Volumn 136, Issue 4, 2006, Pages 509-523

  Fournier, Nicolas ^a  

^a UNIVERSITÉ PARIS EST CRÉTEIL   (France)

Author keywords

Coalescence; Stochastic interacting particle systems

Indexed keywords

EID: 33748998792     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-005-0492-x     Document Type: Article

References (10)

1. Aldous, D.J.: Brownian excursions, critical random graphs and the multiplicative coalescent. Ann. Probab. 25 (2), 812-854 (1997)
2. Aldous, D.J., Pitman, J.: The standard additive coalescent, Ann. Probab. 26 (4), 1703-1726 (1998)
3. Aldous, D.J.: Deterministic and Stochastic Models for Coalescence (Aggregation, Coagulation): A Review of the Mean-Field Theory for Probabilists, Bernoulli 5, 3-48 (1999)
4. Ethier, S.N., Kurtz, T.G.: Markov processes. Characterization and convergence, Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, ohn Wiley and Sons, Inc., New York, 1986
5. Evans, S.N., Pitman, J.: Construction of Markovian coalescents, Ann. Inst. H. Poincaré Probab. Statist. 34 (3), 339-383 (1998)
6. Kingman, J.F.C.: The coalescent, Stochastic Process. Appl. 13 (3), 235-248 (1982)
7. Laurençot, Ph., Mischler, S.: On coalescence equations and related models, Modeling and computational methods for kinetic equations, Model. Simul. Sci. Eng. Technol., Birkhäuser Boston, 321-356 (2004)
8. Leyvraz, F.: Scaling theory and exactly solved models in the kinetics of irreversible aggregation, Physics Reports 383, 95-212 2003
9. Lushnikov, A.: Some new aspects of coagulation theory, Izv. Akad. Nauk SSSR, Ser. Fiz. Atmosfer. I Okeana, 14 (10), 738-743 (1978)
10. Marcus, A.: Stochastic coalescence. Technometrics 10, 133-143 (1968)