@article{AIHPB_2002__38_3_319_0, author = {Bertoin, Jean}, title = {Self-similar fragmentations}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {38}, year = {2002}, pages = {319-340}, mrnumber = {1899456}, zbl = {1002.60072}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_2002__38_3_319_0} }
Bertoin, Jean. Self-similar fragmentations. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) pp. 319-340. http://gdmltest.u-ga.fr/item/AIHPB_2002__38_3_319_0/
[1] Exchangeability and related topics, in: (Ed.), Lectures on Probability Theory and Statistics, Ecole d'été de Probabilités de Saint-Flour XIII, Lecture Notes in Maths, 117, Springer, Berlin, 1985. | MR 883646 | Zbl 0562.60042
,[2] Deterministic and stochastic models for coalescence (aggregation, coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999) 3-48. | MR 1673235 | Zbl 0930.60096
,[3] The standard additive coalescent, Ann. Probab. 26 (1998) 1703-1726. | MR 1675063 | Zbl 0936.60064
, ,[4] Lévy Processes, Cambridge University Press, Cambridge, 1996. | MR 1406564 | Zbl 0861.60003
,[5] A fragmentation process connected to Brownian motion, Probab. Theory Related Fields 117 (2000) 289-301. | MR 1771665 | Zbl 0965.60072
,[6] Homogeneous fragmentation processes, Preprint, 2000. | MR 1867425
,[7] Splitting intervals, Ann. Probab. 14 (1986) 1024-1036. | MR 841602 | Zbl 0601.60028
, ,[8] Splitting intervals. II. Limit laws for lengths, Probab. Theory Related Fields 75 (1987) 109-127. | MR 879556 | Zbl 0607.60010
, ,[9] On the distribution and asymptotic results for exponential functionals of Lévy processes, in: (Ed.), Exponential Functionals and Principal Values Related to Brownian Motion, Biblioteca de la revista Matematica Iberoamericana, 1997, pp. 73-126. | MR 1648657 | Zbl 0905.60056
, , ,[10] Product martingales and stopping lines for branching Brownian motion, Ann. Probab. 19 (1991) 1195-1205. | MR 1112412 | Zbl 0738.60079
,[11] Construction of Markovian coalescents, Ann. Inst. H. Poincaré, Probabilités Statistiques 34 (1998) 339-383. | Numdam | MR 1625867 | Zbl 0906.60058
, ,[12] Calcul Stochastique et Problèmes de Martingales, Lecture Notes in Math., 714, Springer, Berlin, 1979. | MR 542115 | Zbl 0414.60053
,[13] The coalescent, Stochastic Process. Appl. 13 (1982) 235-248. | MR 671034 | Zbl 0491.60076
,[14] Semi-stable Markov processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete 22 (1972) 205-225. | MR 307358 | Zbl 0274.60052
,[15] Coalescents with multiple collisions, Ann. Probab. 27 (1999) 1870-1902. | MR 1742892 | Zbl 0963.60079
,