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Fragmentation of Ordered Partitions and Intervals

   
@article{EJP323,
	author = {Anne-Laure Basdevant},
	title = {Fragmentation of Ordered Partitions and Intervals},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {11},
	year = {2006},
	keywords = {Interval fragmentation; exchangeable compositions},
	abstract = {Fragmentation processes of exchangeable partitions have already been studied by several authors. This paper deals with fragmentations of exchangeable compositions, i.e. partitions of $\mathbb{N}$ in which the order of the blocks matters. We will prove that such a fragmentation is bijectively associated to an interval fragmentation. Using this correspondence, we then study two examples: Ruelle's interval fragmentation and the interval fragmentation derived from the standard additive coalescent.},
	pages = {no. 16, 394-417},
	issn = {1083-6489},
	doi = {10.1214/EJP.v11-323},    
        url = {http://ejp.ejpecp.org/article/view/323}}