Rencontres scientifiques
Rencontre du 31 Janvier 2012
Marseille
Campus St Charles, Salle de séminaire de la FRUMAM.
Exposés prévus :
Mardi 31 Janvier :
Mercredi 1 Février
Résumés
- Vlada Limic (LATP)
Some old and new martingales linked to exchangeable coalescents.
An open problem (Conjecture 4 from [A]) was presented, along with
several semi-martingales that either already proved or might prove
useful in the study of exchangeable coalescent processes. Until now
most of the results obtained by martingale methods concern the
coalescents that come down from infinity (see e.g. [B]) . It would be
interesting to show that the asymptotic for L_n, the total length of
the genealogical tree, holds in complete generality. The speaker would
appreciate your feedback if you make progress on this problem.
[A] J. Berestycki, N. Berestycki and V. Limic (2012) Asymptotic sampling
formulae for Lambda-coalescents. Preprint
[B] J. Berestycki, N. Berestycki and V. Limic (2010) The
Lambda-coalescent speed of coming down from infinity. Ann. Probab.
Vol. 38, No. 1, 207--233, 2010.
Informations pratiques
Last modified: 17 Oct. 2011