Cyril Labbé

Laboratoire de Probabilités et Modèles Aléatoires
Bureau 131 Tour 16-26
Université Pierre et Marie Curie
4 place Jussieu 75005 Paris
France

email : cyril.labbe"at"upmc.fr

I started my PhD thesis in the Laboratoire de Probabilités et Modèles Aléatoires (Paris VI) in September 2010 under the supervision of Julien Berestycki and Amaury Lambert.

Research :

So far, I have worked on a class of measure-valued processes called generalized Fleming-Viot processes or Lambda Fleming-Viot processes. They describe the evolution in time of the asymptotic frequencies of the types carried by the individuals of an infinite population. The genealogies of these measure-valued processes are given by the Lambda coalescents processes introduced separately by Pitman and Sagitov.
These measure-valued processes admit two main representations: a particle system representation called the lookdown process due to Donnelly and Kurtz, which is fundamentally a countable representation; and a flow representation due to Bertoin and Le Gall, which is continuous.
In my first work, I was concerned with the existence of a pathwise coupling of these two approaches. The question can be stated this way : starting from a flow of bridges associated with a measure Lambda, can we define pathwise a lookdown process ? For further detail about this question, see the arXiv link below.

From flows of Lambda Fleming-Viot processes to lookdown processes via flows of partitions.
arXiv:1107.3419v1, submitted.

Teaching :

Moniteur à Paris VI (2010-2013)
2010-2011 : Travaux Dirigés de L1 en LM 121 Calcul Vectoriel (36h) et LM 151 Suites et fonctions de plusieurs variables (36h).
2011-2012 : Travaux Dirigés de L1 en LM 121 Calcul Vectoriel (36h) et de L2 en LM 250 Suites, séries, intégrales (34h).