Research
Books
- Modèles aléatoires. Applications aux sciences de l'ingénieur et du
vivant (avec Benjamin Jourdain). Mathématiques et Applications (SMAI),
Vol. 57 , Springer. Erratum (pdf)
.
- Introduction aux Probabilités et aux Statistiques, Presse
de l'ENSTA.
Publications and Preprints
- [29] Record process on the Continuum Random Tree
(with R. Abraham)
(pdf)
(Abstract).
- [28] A Williams' decomposition for spatially dependent superprocesses
(with O. Hénard)
(pdf)
(Abstract).
- [27] Smaller population size at the MRCA time for stationary
branching processes
(with Y.-T. Chen)
(pdf)
(Abstract). To appear in Ann. of Probab.
- [26] Pruning Galton-Watson Trees and Tree-valued Markov Processes
(with R. Abraham, H. He)
(pdf)
(Abstract). To appear in Annales de l'Institut Henri Poincaré.
- [25] Limit theorems for Markov processes indexed by continuous time
Galton-Watson trees
(with V. Bansaye, L. Marsalle, V. C. Tran)
(pdf)
(Abstract). Ann. of App. Probab., Vol 21, pp. 2263-2314, 2011, .
- [24] On the two oldest families for the Wright-Fisher
process
(with
J.S. Dhersin and A. Siri-Jegousse)
(Abstract).
Elect. Journ. of Probab.,
Vol. 15
(25), pp.
776-800, 2010.
- [23] A continuum-tree-valued Markov process
(with R. Abraham)
(pdf)
(Abstract). To appear in Ann. of Probab.
- [22] Detection of cellular aging in a Galton-Watson process
(with L. Marsalle)
(pdf)
(Abstract). Stoch. Proc. and Appl., Vol. 120, pp. 2495-2519,
2010, (doi:10.1016/j.spa.2010.07.002).
- [21] Pruning a Lévy continuum random tree
(with
R. Abraham and G. Voisin)
(pdf)
(Abstract).
Elect. Journ. of Probab.,
Vol. 15
(46), pp.
1429-1473, 2010.
- [20] Asymptotic results on the length of coalescent trees
(with
J.S. Dhersin et A. Siri-Jegousse)
(pdf)
(Abstract). Ann. of App.
Prob., Vol. 18, pp. 997-1025, 2008, (doi:10.1214/07-AAP476).
- [19] Williams' decomposition of the
Lévy continuous random tree and
simultaneous extinction probability for populations with
neutral mutations
(with
R. Abraham)
(pdf)
(Abstract). Stoch. Proc. and Appl., Vol. 119, pp. 1124-1143,
2009, (doi:10.1016/j.spa.2008.06.001).
- [18] Does waste-recycling really improve Metropolis-Hastings
Monte Carlo algorithm?
(with B. Jourdain)
(pdf)
(Abstract). J. Applied Probab. , Vol. 46-4,
pp. 938-959, 2009. (doi:10.1239/jap/1261670681)
- [17] Height process for super-critical continuous state branching
process,
(
pdf)
(Abstract).
Markov Proc. and Rel. Fields, Vol. 14-2, pp. 309-326, 2008.
- [16] Changing the branching
mechanism of a continuous state branching process using
immigration
(with
R. Abraham)
(pdf)
(Abstract). Ann. Inst. H. Poincaré,
Vol. 45-1, pp. 226-238, 2009, (doi:10.1214/07-AIHP165).
- [15] Asymptotics for the small fragments of the fragmentation at
nodes
(with
R. Abraham)
(Abstract). Bernoulli, Vol. 13,
Issue 1, pp. 211-228, 2007.
- [14] Fragmentation at height associated to Lévy
processes
(Abstract).
Stoch. Proc. Appl., Vol. 117, Issue 3,
pp. 297-311, 2007.
- [13] Feller property and
infinitesimal generator of the exploration process
(with
R. Abraham)
(Abstract). J. of
Theor. Prob., Vol. 20, Issue 3, pp.
355-370, 2007.
- [12] Fragmentation
associated to Lévy processes using snake
(with R. Abraham)
(Abstract).
Probab. Theor. Rel. Fields, Vol. 141, Issue 1-2, pp. 113-154, 2008.
- [11] Non linear Neumann's condition for the heat equation: a
probabilistic representation using catalytic super Brownian
motion
(with P. Vogt)
(Abstract). Ann. Inst. H. Poincaré (B)
Probab. and Stat. Vol. 41, Issue 5,
pp. 817-849, 2005.
- [10] Solutions of Du=u² with
Neumann's condition using the Brownian snake
(with
R. Abraham)
(Abstract). Probab. Theor. Rel. Fields, Vol. 128, Issue 4, pp. 475-516, 2004.
- [9] Computation of moments for the length of the one dimensional ISE
support
(Abstract).
Elect. Journ. of Probab.,
Vol. 8
(17), pp.
1-15, 2003.
- [8] Super Brownian motion
with interactions
(with
J.-S. Dhersin)
(Abstract). Stoch. Proc. Appl., Vol. 107, Issue
2, pp. 301-325, 2003.
- [7] Some properties of the exit
measure of the super Brownian motion
(with
R. Abraham)
(Abstract). Probab. Theor. Rel. Fields, Vol. 122, Issue 1, pp. 71-107,
2002.
- [6] On the hot spots of a catalytic super Brownian motion
(with
K. Fleischmann)
(Abstract). Probab. Theor. Rel. Fields,
Vol. 121, Issue 3 pp. 389-421,
2001.
- [5] Kolmogorov's test for the
Brownian snake
(with J.-S. Dhersin)
(Abstract).
Ann. of
Prob., Vol. 29, Issue 1,
pp. 305-316, 2001.
- [4] Some properties of the range of super-Brownian motion
(Abstract). Probab. Theor. Rel. Fields, Vol. 114, Issue
4, pp. 505-547, 1999.
- [3] Path properties of superprocesses with a general branching
mechanism
(Abstract). Ann. of
Prob., Vol. 27, Issue
3, pp. 1099-1134, 1999.
- [2] Characterization of G-regularity for super-Brownian motion and
consequences for parabolic P.D.E.
(with J.-S. Dhersin)
(Abstract). Ann. of
Prob., Vol. 27, Issue 2,
pp. 731-750, 1999.
- [1] Super-mouvement brownien avec catalyse
(pdf).
Stoch. and
Stoch. Rep., Vol 58, pp. 307-347,
1996.
Communications
- [3]
Analyse statistique de la communication par le système perceptif d'un
bébé (de 3 à 9 mois) avec sa mère
(with
V. Desjardins, J. Foki, D. Chauveau)
(pdf) (HAL).
- [2] Modeling environmental impacts of plankton reservoirs on
cholera population dynamics
(with G. Constantin de Magny,
C. Paroissin, B. Cazelles, M. de Lara, J.-F. Guégan)
(Abstract). ESAIM
Proc., Vol. 14, 2005, pp. 156-173, 2005.
- [1] Statistical Study of Cellular Aging
(with J. Guyon,
A. Bize, G. Paul,
E. Stewart and F. Taddéi)
(Abstract). ESAIM
Proc., Vol. 14, 2005, pp. 124-155, 2005.
Others
- Habilitation à diriger des recherches de l'Université
Paris VI.
Quelques propriétés des
superprocessus.
(pdf) (ps)
Soutenue le 13 Mars 2003.
- Super processes and non
linear PDEs.
(ps). Notes (MSRI 1998).
- Thèse de l'Université Paris VI, sous la
direction de Jean-François
Le Gall
Quelques propriétés des
superprocessus. (pdf)
Soutenue le 28 Mars 1997.
Coauthors
PhD students
- Julien Guyon (July 2006, (pdf)), Prix de Thèse 2006 de l'Ecole
Nationale des Ponts et Chaussées.
- Julien Foki (since 2005), with D. Chauveau.
- Arno Siri-Jégousse (November 2009 (pdf)), with J.-S. Dhersin.
- Olivier Hénard (since 2009).
- Patrick Hoscheit (since 2009), with R. Abraham.