@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}, pages = {319--340}, publisher = {Elsevier}, volume = {38}, number = {3}, year = {2002}, mrnumber = {1899456}, zbl = {1002.60072}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2002__38_3_319_0/} }
Bertoin, Jean. Self-similar fragmentations. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 3, pp. 319-340. http://archive.numdam.org/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 | Zbl
,[2] Deterministic and stochastic models for coalescence (aggregation, coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999) 3-48. | MR | Zbl
,[3] The standard additive coalescent, Ann. Probab. 26 (1998) 1703-1726. | MR | Zbl
, ,[4] Lévy Processes, Cambridge University Press, Cambridge, 1996. | MR | Zbl
,[5] A fragmentation process connected to Brownian motion, Probab. Theory Related Fields 117 (2000) 289-301. | MR | Zbl
,[6] Homogeneous fragmentation processes, Preprint, 2000. | MR
,[7] Splitting intervals, Ann. Probab. 14 (1986) 1024-1036. | MR | Zbl
, ,[8] Splitting intervals. II. Limit laws for lengths, Probab. Theory Related Fields 75 (1987) 109-127. | MR | Zbl
, ,[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 | Zbl
, , ,[10] Product martingales and stopping lines for branching Brownian motion, Ann. Probab. 19 (1991) 1195-1205. | MR | Zbl
,[11] Construction of Markovian coalescents, Ann. Inst. H. Poincaré, Probabilités Statistiques 34 (1998) 339-383. | Numdam | MR | Zbl
, ,[12] Calcul Stochastique et Problèmes de Martingales, Lecture Notes in Math., 714, Springer, Berlin, 1979. | MR | Zbl
,[13] The coalescent, Stochastic Process. Appl. 13 (1982) 235-248. | MR | Zbl
,[14] Semi-stable Markov processes, Z. Wahrscheinlichkeitstheorie verw. Gebiete 22 (1972) 205-225. | MR | Zbl
,[15] Coalescents with multiple collisions, Ann. Probab. 27 (1999) 1870-1902. | MR | Zbl
,