Photograph : Benoît Rajau

Jean-François LE GALL

Professor at University Paris 11 (Paris-Sud, Orsay)

Senior member of the Institut universitaire de France

Managing editor of Probability Theory and Related Fields (with Jean Bertoin)

Office : 311, Third floor

Phone : (33) (0)1 69 15 66 57

E-mail : jean-francois.legall "at" math.u-psud.fr

Research interests : Probability theory, Brownian motion, Lévy processes, superprocesses and their connections with PDE, Brownian snake, random trees, branching processes, coalescence, random planar maps

Lecture at the European Congress of Mathematics, Amsterdam 2008

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You will find on this page :

• A short curriculum vitae

• My list of publications

• A summary of my past research work (written in February 2007)

• The lecture notes "Random trees and applications" from a DEA course at Paris 6 in 2004, and the first Cornell Summer School in Probability (2005) (PDF, 64 pages), published in Probability Surveys 2 (2005), 245-311.

• The lecture notes "Random trees and spatial branching processes" from a DEA course at Paris 6 in 2000 and a course given at Maphysto in 2000 (PDF, 80 pages)

• The lecture notes "Mouvement brownien et calcul stochastique" from a DEA course at Paris 6 in 1996 (PDF, 101 pages, in French)

• The lecture notes "Mouvement brownien, processus de branchement et superprocessus" from a DEA course at Paris 6 in 1994 (PDF, 115 pages, in French)

• The lecture notes "Intégration, Probabilités et Processus Aléatoires" from several courses given at ENS between 2000 and 2005 (PDF, 248 pages, in French)

• The following recent papers :
  
  
  • Conditioned Brownian trees (Ann. Inst. Henri Poincaré 42 (2006), 455-489, with Mathilde Weill)

  • A conditional limit theorem for tree-indexed random walk, previously titled "An invariance principle for conditioned trees" (Stoch. Process. Appl. 116 (2006), 539-567)

  • Random real trees (Ann. Fac. Sci. Toulouse Série 6, vol. XV (2006), pp. 35-62)

  • On the occupation measure of super-Brownian motion (Electronic Comm. Probab. 11 (2006), 252-265, with Mathieu Merle)

  • Stochastic flows associated to coalescent processes III (Illinois J. Math. 50 (2006), 147-181, with Jean Bertoin)

  • The Hausdorff measure of stable trees (Alea 1 (2006), 393-415, with Thomas Duquesne)

  • Probabilistic approach to a class of semilinear partial differential equations (In: Perspectives in Nonlinear Partial Differential Equations In honor of Haim Brezis', pp. 255-272. Contemporary Mathematics, AMS 2007.)

  • The topological structure of scaling limits of large planar maps (Inventiones mathematicae 169 (2007) 621-670)

  • Scaling limits of bipartite planar maps are homeomorphic to the 2-sphere (Geometric and Functional Analysis 18 (2008), 893-918, avec Frédéric Paulin)

  • Geodesics in large planar maps and in the Brownian map (Acta Mathematica, to appear)

  • On the re-rooting invariance property of Lévy trees (Electronic Comm. Probab., to appear, with Thomas Duquesne)

  • Large random planar maps and their scaling limits (submitted to Proceeedings 5th European Congress of Mathematics, Amsterdam 2008)

  • Scaling limits of random planar maps with large faces (preprint, with Grégory Miermont)