%0 Book Section %1 csp-add-coal %A Pitman, Jim %B Combinatorial Stochastic Processes %D 2006 %I Springer-Verlag %K Dept_Mathematics_Berkeley Dept_Statistics_Berkeley additive_coalescent random_forests myown %P 207--221 %T Random forests and the additive coalescent %U http://dx.doi.org/10.1007/3-540-34266-4_11 %V 1875 %X This chapter reviews how various representations of additive coalescent processes, whose state space may be either finite or infinite partitions, can be constructed from random trees and forests. These constructions establish deep connections betweenthe asymptotic behaviour of additive coalescent processes and the theory of Brownian trees and excursions. There are someclose parallels with the theory of multiplicative coalescents and the asymptotics of critical random graphs, described inSection 6.4.

@inbook{csp-add-coal, abstract = {This chapter reviews how various representations of additive coalescent processes, whose state space may be either finite or infinite partitions, can be constructed from random trees and forests. These constructions establish deep connections betweenthe asymptotic behaviour of additive coalescent processes and the theory of Brownian trees and excursions. There are someclose parallels with the theory of multiplicative coalescents and the asymptotics of critical random graphs, described inSection 6.4.}, added-at = {2008-01-20T21:39:10.000+0100}, author = {Pitman, Jim}, biburl = {https://www.bibsonomy.org/bibtex/2ce016bc9fc1b6d757a2be66ce58def0e/pitman}, booktitle = {Combinatorial Stochastic Processes}, description = {SpringerLink - Book Chapter}, interhash = {f3cea216d2f10d4df59b813befd21a37}, intrahash = {ce016bc9fc1b6d757a2be66ce58def0e}, keywords = {Dept_Mathematics_Berkeley Dept_Statistics_Berkeley additive_coalescent random_forests myown}, pages = {207--221}, publisher = {Springer-Verlag}, series = {Lecture Notes in Mathematics}, timestamp = {2010-10-30T22:51:58.000+0200}, title = {Random forests and the additive coalescent}, url = {http://dx.doi.org/10.1007/3-540-34266-4_11}, volume = 1875, year = 2006 }