| dc.contributor.author | Haas, Bénédicte | |
| dc.contributor.author | Miermont, Grégory | |
| dc.date.accessioned | 2009-09-28T07:15:58Z | |
| dc.date.available | 2009-09-28T07:15:58Z | |
| dc.date.issued | 2004 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/1991 | |
| dc.description | Journal électronique : http://www.math.washington.edu/~ejpecp/index.php | en |
| dc.language.iso | en | en |
| dc.subject | Probabilités | en |
| dc.subject.ddc | 519 | en |
| dc.title | The genealogy of self-similar fragmentations with negative index as a continuum random tree | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.description.abstracten | We encode a certain class of stochastic fragmentation processes, namely self-similar
fragmentation processes with a negative index of self-similarity, into a metric family tree which
belongs to the family of Continuum Random Trees of Aldous. When the splitting times of
the fragmentation are dense near 0, the tree can in turn be encoded into a continuous height
function, just as the Brownian Continuum Random Tree is encoded in a normalized Brownian
excursion. Under mild hypotheses, we then compute the Hausdor® dimensions of these trees,
and the maximal HÄ older exponents of the height functions. | en |
| dc.relation.isversionofjnlname | Electronic Journal of Probability | |
| dc.relation.isversionofjnlvol | 9 | en |
| dc.relation.isversionofjnlissue | paper 4 | en |
| dc.relation.isversionofjnldate | 2004 | |
| dc.relation.isversionofjnlpages | 57-97 | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | Institute of Mathematical Statistics | en |
| dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
