Books

• Modèles aléatoires . Applications aux sciences de l'ingénieur et du vivant (avec Benjamin Jourdain). Mathématiques et Applications (SMAI), Vol. 57, Springer (2006). Erratum (pdf) .
  
  
• Introduction aux Probabilités et aux Statistiques, Presses de l'ENSTA (2010, 2013 2ème éd.). (pdf).
  
  
• Introduction aux Probabilités et aux Statistiques: Exercices, problèmes et corrigés, Presses de l'ENSTA (2012, 2013 2ème éd., 2014 3ème éd., 2016 4ème éd.). (pdf).

Publications and Preprints

• [77] Infinite dimensional metapopulation SIS model with generalized incidence rate .
  (with K. Lefki and P.-A. Zitt)
  (pdf).
  
  
• [76] Branching capacity of a random walk in Z^5.
  (with T. Bai and Y. Hu)
  (pdf).
  
  
• [75] Branching capacity and Brownian snake capacity.
  (with T. Bai and Y. Hu)
  (pdf).
  
  
• [74] Probability-graphons: Limits of large dense weighted graphs.
  (with R. Abraham and J. Weibel)
  (pdf).
  
  
• [73] Conditioning Bienaymé-Galton-Watson trees to have large sub-populations.
  (with R. Abraham and H. Bi)
  (pdf).
  
  
• [72] Atoms and associated spectral properties for positive operators on L^p.
  (with K. Lefki and P.-A. Zitt)
  (pdf).
  
  
• [71] Transformations preserving the effective spectral radius of a matrix.
  (with D. Dronnier and P.-A. Zitt)
  (pdf).
  
  
• [70] Individual-based SIS models on (not so) dense large random networks.
  (with P. Frasca, F. Garin, V. C. Tran, A. Velleret and P.-A. Zitt)
  (pdf), ALEA, Lat. Am. J. Probab. Math. Stat., 21: 1375-1405 (2024).
  
  
• [69] Off-the-grid prediction and testing for mixtures of translated features.
  (with C. Butucea, A. Dutfoy and C. Hardy)
  (pdf), Electron. J. Statist. 18(2): 2931-2973 (2024). DOI: 10.1214/24-EJS2267 .
  
  
• [68] Vaccinating according to the maximal endemic equilibrium achieves herd immunity.
  (with D. Dronnier and P.-A. Zitt)
  (pdf).
  
  
• [67] Conditioning (sub)critical Lévy trees by their maximal degree: Decomposition and local limit .
  (with R. Abraham and M. Nassif)
  (pdf).
  
  
• [66] Simultaneous off-the-grid learning of sparse mixtures from a continuous dictionary.
  (with C. Butucea, A. Dutfoy and C. Hardy)
  (pdf).
  
  
• [65] Optimal vaccinations: cordons sanitaires, reducible population and optimal ray.
  (with D. Dronnier and P.-A. Zitt)
  (pdf).
  
  
• [64] Off-the-grid learning of sparse mixtures from a continuous dictionary.
  (with C. Butucea, A. Dutfoy and C. Hardy)
  (pdf).
  
  
• [63] Brownian continuum random tree conditioned to be large.
  (with R. Abraham and H. He)
  (pdf).
  
  
• [62] Optimal vaccination: various (counter) intuitive examples.
  (with D. Dronnier and P.-A. Zitt)
  (pdf, misprints), J. of Math. Biol., Vol. 86, n°26, 57 p., 2023.
  
  
• [61] Effective reproduction number: convexity, invariance and cordons sanitaires.
  (with D. Dronnier and P.-A. Zitt)
  (pdf).
  
  
• [60] Central limit theorem for kernel estimator of invariant density in bifurcating Markov chains models.
  (with S. V. Bitseki Penda)
  (pdf) J. of Theo. Probab., Vol. 36, pp. 1591-1625, 2023. (doi:10.1007/s10959-022-01205-w).
  
  
• [59] Central limit theorem for bifurcating Markov chains under L²-ergodic conditions.
  (with S. V. Bitseki Penda)
  (pdf) (and Supplementary material(pdf)). Advances in Appl. Probab., Vol. 54(4), pp. 999-1031, 2022. (doi:10.1017/apr.2022.3).
  .
  
  
• [58] Targeted vaccination strategies for an infinite-dimensional SIS model.
  (with D. Dronnier and P.-A. Zitt)
  (pdf).
  
  
• [57] Central limit theorem for bifurcating Markov chains under pointwise ergodic conditions.
  (with S. V. Bitseki Penda)
  (pdf) Ann. Appl. Probab., Vol. 32(5), pp. 3817-3849, 2022. (doi:10.1214/21-AAP1774).
  
  
• [56] Global regime for general additive functionals of conditionned Bienaymé-Galton-Watson trees.
  (with R. Abraham and M. Nassif)
  (pdf) Probab. Theor. Rel. Fields, Vol. 182, pp. 277-351, 2022. (doi:10.1007/s00440-021-01095-9).
  
  
• [55] An infinite-dimensional metapopulation SIS model.
  (with D. Dronnier and P.-A. Zitt)
  (pdf, misprints), Journ. Differential Equations, Vol. 313, pp. 1-53, 2022 (doi.org/10.1016/j.jde.2021.12.024).
  
  
• [54] Some properties of stationary continuous state branching processes.
  (with R. Abraham and H. He)
  (pdf). Stoch. Proc. and Appl., Vol. 141, pp. 309-343, 2021 (doi.org/10.1016/j.spa.2021.07.011).
  
  
• [53] Fast Algorithms for Sparse Reduced-Rank Regression.
  (with B. Dubois and G. Obozinski)
  (pdf) (and appendix pdf). Proceedings of the 22nd Int. Conf. on Artificial Intelligence and Statistics (AISTATS) 2019.
  
  
• [52] Asymptotic for the cumulative distribution function of the degrees and homomorphism densities for random graphs sampled from a graphon.
  (with J.-S. Dhersin and M. Sciauveau)
  (pdf). Random Structures and Algorithms, Vol. 58 (1), pp. 94-149, 2021 (doi.org/10.1002/rsa.20965).
  
  
• [51] Asymptotic properties of expansive Galton-Watson trees.
  (with R. Abraham)
  (pdf). Elect. Journ. of Probab., Vol. 24 (15), pp. 1-51, 2019 (doi.org/10.1214/19-EJP272).
  
  
• [50] Reversal property of the Brownian tree.
  (with R. Abraham)
  (pdf). ALEA, Lat. Am. J. Probab. Math. Stat. 15, pp. 1-17, 2018.
  
  
• [49] Very fat geometric Galton-Watson trees.
  (with R. Abraham and A. Bouaziz)
  (pdf). ESAIM: PS 24, pp. 294-314, 2020.
  
  
• [48] Exact simulation of the genealogical tree for a stationnary branching population.
  (with R. Abraham)
  (pdf) Advances in Applied Probability, Vol. 53(2), pp. 537-574, 2021.
  
  
• [47] Cost functionals for large (uniform and simply generated) random trees.
  (with J.-S. Dhersin and M. Sciauveau)
  (pdf) Elect. Journ. of Probab., Vol. 23(87), pp. 1-36, 2018.
  
  
• [46] Fast adaptive estimation of log-additive exponential models in Kullback-Leibler divergence.
  (with C. Butucea, A. Dutfoy and R. Fischer)
  (pdf) Elect. Journ. of Stat. Vol. 12, no. 1, pp. 1256-1298, 2018.
  
  
• [45] Optimal exponential bounds for aggregation of estimators for the Kullback-Leibler loss.
  (with C. Butucea, A. Dutfoy and R. Fischer)
  (pdf) Elect. Journ. of Stat., Vol. 11, No. 1, pp. 2258-2294, 2017.
  
  
• [44] Critical multi-type Galton-Watson trees conditioned to be large.
  (with R. Abraham and H. Guo)
  (pdf) Journ. of Theor. Probab., 31(2), pp. 757-788, 2018.
  
  
• [43] Local limits of Galton-Watson trees conditioned on the number of protected nodes.
  (with R. Abraham and A. Bouaziz)
  (pdf) Journal of Applied Probability, Vol. 54, Issue 1, pp. 55-65, 2017.
  
  
• [42] Maximum entropy distribution of order statistics with given marginals.
  (with C. Butucea, A. Dutfoy and R. Fischer)
  (pdf) Bernoulli, Vol. 24, Issue 1, pp. 115-155, 2018.
  
  
• [41] An introduction to Galton-Watson trees and their local limits.
  (with R. Abraham)
  (pdf).
  
  
• [40] Total length of the genealogical tree for quadratic stationary continuous-state branching processes.
  (with H. Bi)
  (pdf) Ann. Inst. H. Poincaré, Vol. 52(3), pp. 1321-1350, 2016 (doi:10.1214/15-AIHP683).
  
  
• [39] Maximum entropy copula with given diagonal section.
  (with C. Butucea, A. Dutfoy and R. Fischer)
  (pdf) Journal of Multivariate Analysis, Vol. 137, pp. 61-81, 2015 (doi:10.1016/j.jmva.2015.01.003).
  
  
• [38] Local limits of conditioned Galton-Watson trees: the condensation case.
  (with R. Abraham)
  (pdf) Elect. Journ. of Probab., Vol. 19 (56), pp. 1-29, 2014 (doi:10.1214/EJP.v19-3164).
  
  
• [37] A population model with non-neutral mutations using branching processes with immigration.
  (with H. Bi)
  (pdf) Elect. Journ. of Probab., Vol. 19 (62), pp. 1-23, 2014 (doi:10.1214/EJP.v19-2939).
  
  
• [36] Local limits of conditioned Galton-Watson trees: the infinite spine case.
  (with R. Abraham)
  (pdf) Elect. Journ. of Probab., Vol. 19 (2), pp. 1-19, 2014 (doi:10.1214/EJP.v19-2747).
  
  
• [35] Beta-coalescents and stable Galton-Watson trees.
  (with R. Abraham)
  (pdf) ALEA, Lat. Am. J. Probab. Math. Stat. 12 (1), 451-476, 2015.
  
  
• [34] Pruning of CRT-sub-trees.
  (with R. Abraham and H. He)
  (pdf) Stoch. Proc. and Appli., Vol 125, pp. 1569-1604, 2015 (http://dx.doi.org/10.1016/j.spa.2014.11.008).
  
  
• [33] A construction of a beta-coalescent via the pruning of Binary Trees.
  (with R. Abraham)
  (pdf) J. Applied Probab., Vol. 50-3, pp. 772-790, 2013 (doi:10.1239/jap/1378401235).
  
  
• [32] The forest associated with the record process on a Lévy tree.
  (with R. Abraham)
  (pdf) Stoch. Proc. and Appli., Vol 123, pp. 3497-3517, 2013 (doi:10.1016/j.bbr.2011.03.031).
  
  
• [31] Exit times for an increasing Lévy tree-valued process.
  (with R. Abraham and P. Hoscheit)
  (pdf) Probab. Theor. Rel. Fields, Vol. 159(1), pp. 357-403, 2014. (doi:10.1007/s00440-013-0509-9).
  
  
• [30] A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces.
  (with R. Abraham and P. Hoscheit)
  (pdf) Elect. Journ. of Probab., Vol. 18 (14), pp. 1-21, 2013 (doi:10.1214/EJP.v18-2116).
  
  
• [29] Record process on the Continuum Random Tree.
  (with R. Abraham)
  (pdf) ALEA, Lat. Am. J. Probab. Math. Stat., Vol. 10 (1), pp. 225--251, 2013.
  
  
• [28] A Williams' decomposition for spatially dependent superprocesses.
  (with O. Hénard)
  (pdf) Elect. Journ. of Probab., Vol. 18 (37), pp. 1-43, 2013 (doi:10.1214/EJP.v18-1801).
  
  
• [27] Smaller population size at the MRCA time for stationary branching processes.
  (with Y.-T. Chen)
  (pdf) Ann. Probab. Vol. 40(5), pp. 2034-2068, 2012 (doi:10.1214/11-AOP668).
  
  
• [26] Pruning Galton-Watson Trees and Tree-valued Markov Processes.
  (with R. Abraham, H. He)
  (pdf) Ann. Inst. H. Poincaré, Vol. 48(3), pp. 688-705, 2012 (doi:10.1214/11-AIHP423).
  
  
• [25] Limit theorems for Markov processes indexed by continuous time Galton-Watson trees.
  (with V. Bansaye, L. Marsalle, V. C. Tran)
  (pdf) Ann. of App. Probab., Vol 21, pp. 2263-2314, 2011 (doi:10.1214/10-AAP757).
  
  
• [24] On the two oldest families for the Wright-Fisher process.
  (with J.S. Dhersin and A. Siri-Jegousse)
  (pdf) Elect. Journ. of Probab., Vol. 15 (25), pp. 776-800, 2010.
  
  
• [23] A continuum-tree-valued Markov process.
  (with R. Abraham)
  (pdf) Ann. of Probab., Vol. 40(3), pp. 1167-1211, 2012 (doi:10.1214/11-AOP644).
  
  
• [22] Detection of cellular aging in a Galton-Watson process.
  (with L. Marsalle)
  (pdf) 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) 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) 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) 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) 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) 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) 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)
  (pdf) Bernoulli, Vol. 13, Issue 1, pp. 211-228, 2007.
  
  
• [14] Fragmentation at height associated to Lévy processes.
  (pdf) Stoch. Proc. Appl., Vol. 117, Issue 3, pp. 297-311, 2007.
  
  
• [13] Feller property and infinitesimal generator of the exploration process.
  (with R. Abraham)
  (pdf) J. of Theor. Prob., Vol. 20, Issue 3, pp. 355-370, 2007.
  
  
• [12] Fragmentation associated to Lévy processes using snake.
  (with R. Abraham)
  (pdf) 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)
  (pdf) 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)
  (pdf) 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.
  (pdf) Elect. Journ. of Probab.,Vol. 8 (17), pp. 1-15, 2003.
  
  
• [8] Super Brownian motion with interactions.
  (with J.-S. Dhersin)
  (pdf) 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)
  (pdf) 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)
  (pdf) Probab. Theor. Rel. Fields, Vol. 121, Issue 3 pp. 389-421, 2001.
  
  
• [5] Kolmogorov's test for the Brownian snake.
  (with J.-S. Dhersin)
  (pdf) Ann. of Prob., Vol. 29, Issue 1, pp. 305-316, 2001.
  
  
• [4] Some properties of the range of super-Brownian motion.
  (pdf) Probab. Theor. Rel. Fields, Vol. 114, Issue 4, pp. 505-547, 1999.
  
  
• [3] Path properties of superprocesses with a general branching mechanism.
  (pdf) 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)
  (pdf) 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

• [9] Modeling infrared spectra: an algorithm for an automatic and simultaneous analysis
  (with C. Butucea, A. Dutfoy, C. Hardy)
  Proceddings of the 31st European Safety and Reliability Conference: ESREL, pp. 3359-3366, 2021.
  
  
• [8] Cost functionals for large random trees
  (with J.-S. Dhersin, M. Sciauveau)
  27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms Kraków, Poland,
  (accepted papers), 2016.
  
  
• [7] Nonparametric estimation of distributions of order statistics with application to nuclear engineering
  (with C. Butucea, A. Dutfoy, R. Fischer)
  Safety and Reliability of Complex Engineered Systems: ESREL, pp. 2657-2666, 2015.
  
  
• [6] Estimation rapide non-paramétrique de la densité de la distribution d'entropie maximale pour les statistiques d'ordre
  (with C. Butucea, A. Dutfoy, R. Fischer)
  In 47ème Journées de Statistiques Lille, (résumés), 2015.
  
  
• [5] Copule d'entropie maximale avec des statistiques d'ordre fixées
  (with C. Butucea, A. Dutfoy, R. Fischer)
  In 46ème Journées de Statistiques Rennes, (résumés), 2014.
  
  
• [4] Session MAS 2012: Probabilités et Biologie
  (with V. Bansaye, O. Hénard, P. Vallois, L. Yuan)
  ESAIM Proc., Vol. 44, pp. 197-213, 2014.
  
  
• [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, 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, 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

• Romain Abraham, Tianyi Bai, Vincent Bansaye, Hongwei Bi, Simeon Valère Bistseki Penda, Ariane Bize, Aymen Bouaziz Christina Butucea, Bernard Cazelles, Didier Chaveau, Yu-Ting Chen, Guillaume Constantin de Magny, Valérie Desjardin, Jean-Stéphane Dhersin, Benjamin Dubois, Dylan Dronnier, Anne Dutfoy, Richard Fischer, Klaus Fleishmann, Paolo Frasca, Federica Garin, Jean-François Guégan, Hongsong Guo Julien Guyon, Clément Hardy, Hui He, Olivier Hénard, Patrick Hoscheit, Yueyun Hu, Benjamin Jourdain, Michel de Lara, Kacem Lefki, Laurence Marsalle, Michel Nassif, Guillaume Obozinski, Christian Paroissin, Marion Sciauveau, Arno Siri-Jégousse, Eric Stewart, François Taddéi, Viet Chi Tran, Pierre Vallois, Aurélien Velleret, Pascal Vogt, Guillaume Voisin, Julien Weibel, Linglong Yuan, Pierre-André Zitt.

PhD students

• Julien Guyon (July 2006, (pdf)). Prix de Thèse 2006 de l'Ecole Nationale des Ponts et Chaussées.
• Arno Siri-Jégousse (November 2009 (pdf)), with J.-S. Dhersin.
• Olivier Hénard (December 2012 (pdf)).
• Patrick Hoscheit (December 2012 (pdf)), with R. Abraham.
• Charline Smadi-Lasserre (March 2015 (pdf)), with S. Méléard.
• Hongwei Bi (2012-2013), PhD student of Z. Li.
• Richard Fischer (September 2016)(pdf)), with C. Butucea and A. Dutfoy.
• Hongsong Guo (2014-2015), PhD student of M. Zhang.
• Marion Sciauveau (November 2018 (pdf)), with J.-S. Dhersin.
• Gustave Emprin (December 2019 (pdf)), with R. Abraham.
• Benjamin Dubois (December 2019 (pdf)), with G. Obozinski.
• Dylan Dronnier (November 2021 (pdf)), with P.-A. Zitt. Prix de thèse Paris-Est Sup « Territoire » de la Communauté d'agglomération Paris-Vallée de la Marne.
• Michel Nassif (December 2022 (pdf)), with R. Abraham.
• Clément Hardy (February 2023 (pdf)), with C. Butucea and A. Dutfoy.
• Kacem Lefki (since 2021), with P.-A. Zitt.
• Julien Weibel (since 2021), with R. Abraham.