Thomas Duquesne

• Professor at Sorbonne Université


Former names of Sorbonne Université :
Université P. et M. Curie (2007-2017),
Université Paris 6 (1971-2007),
Faculté des Sciences de l'Université de Paris (1893-1971),
No university between 1793 and 1893 (only schools),
Université de Paris "la Sorbonne" (1257-1793).


• Research unit: LPSM UMR 8001
(Acronyms of: Laboratoire de Probabilités, Statistique et Modélisation, Unité Mixte de Recherche 8001)

Former names of LPSM:
Laboratoire de Probabilités et Modèles Aléatoires, LPMA, UMR 7599 (1999-2017),
Laboratoire de Probabilité de Paris 6 , Unité CNRS 007, (1970-1999),
Chaire de Calcul des Probabilités et Physique Mathématique, (1850-1968),
Chaire de Calcul des Probabilités (1834-1850).
History of the research unit


• Department: Faculté de Mathématiques, UFR 929



Regular mail:	UPMC LPSM, Case courrier 188
	4 Place Jussieu, 75252 PARIS CEDEX 05 FRANCE
Office:	UPMC, 4 place Jussieu, Tours 16-26, 2d floor, room 2-17
	How to get to the LPSM ?, Comment se rendre au Laboratoire ?
Phone:	+33 (0)1 44 27 79 99
Fax:	+33 (0)1 44 27 72 23
e-mail:	thomas.duquesne "at" upmc.fr

• Probability theory


• Branching processes and super-processes


• Random discrete and continuous trees


• Limits of large trees and graphs


• Fractal properties.

• Bertrand MICHEL: Modélisation de la production d'hydrocarbures dans un bassin pétrolier. Université Paris-Sud (Paris 11) 2008. Co-advisor Pascal MASSART.



• Guanying WANG. Exceptionally small balls in stable trees. Tsinghua University, Beijing 2012. Co-advisor Zhi-Yin WEN.



• Minmin WANG . Contributions à l'étude des arbres de Lévy et des arbres inhomogènes continus. Université P. & M. Curie (Paris 6), 2014. Co-advisor Nicolas BROUTIN.



• Xan DUHALDE . Sur les propriétés fractales et trajectorielles de processus de branchement continus. Université P. & M. Curie (Paris 6), 2015.

• T.D & J-F. Le Gall.
  Random Trees, Levy Processes and Spatial Branching Processes,
  research monograph (145 pages) (2002) Asterisque 281.



• T. D.
  Path decomposition for real Levy processes,
  Ann. IHP-PR (2003) 39(2) 339-370 (32 pages)



• T. D.
  A limit theorem for the contour process of conditioned Galton-Watson trees,
  Ann. Probab. (2003) 31 (2) p.996-1027 (32 pages)



• T. D. & J-F. Le Gall
  Probabilistic and fractal aspects of Levy trees,
  PTRF (2005) 131 (4) p.553-603 (51 pages)



• T. D.
  Continuum tree limit for the range of random walks on regular trees,
  Ann. Probab. (2005) 33 p.2212-2254 (43 pages)



• T. D. & J-F. Le Gall.
  The Hausdorff measure of stable trees,
  ALEA-Latin American Journal of Probability and Mathematical Statistics (2006) 1 p. 393-415 (23 pages)



• T. D & M. Winkel.
  Growth of Levy trees,
  PTRF (2007) 139 (3-4) p. 313-371 (59 pages)



• T. D. (2008)
  Continuum random trees and branching processes with immigration,
  Stoch. Process Appl. (2008) 119 (1), p. 99-129 (31 pages)



• T. D.
  An elementary proof of Hawkes's conjecture on Galton-Watson trees,
  Electron. Commun. Probab. (2009) 14 p. 151-164 (14 pages)



• T. D. & J-F. Le Gall.
  On the re-rooting invariance of Levy trees,
  Electron. Commun. Probab. (2009) 14 p. 317-326 (10 pages)



• T. D.
  The packing measure of the range of super-Brownian motion,
  Ann. Probab. (2009) 37 (6) p. 2431-2458 (28 pages)



• T. D.
  Packing and Hausdorff measures of stable trees,
  In "Levy Matters I", a subseries on Levy processes, Lecture Notes in Mathematics (2010) vol. 2001, p. 93--136. Springer, Berlin. (44 pages)



• T. D.
  The exact packing measure of Levy trees,
  Stochastic Process. Appl. (2012) 122, 3 , 968--1002. (35 pages)



• T. D & Guanying Wang
  Exceptionally small balls in stable trees.,
  Bull. Soc. Math. France 142, 2 (2014), 223--254 (32 pages)



• T. D. & C. Labbé
  On the Eve property for CSBP. ,
  Electron. J. Probab. 19 (2014), no. 6, (31 pages)



• N. Curien, T. D., I. Kortchemski & I. Manolescu
  Scaling limits and influence of the seed graph in preferential attachment trees. ,
  J. Éc. polytech. Math. 2 (2015), 1--34. (34 pages)



• X. Duhalde & T. D.
  Exact packing measure of the range of psi-Super Brownian motions. ,
  Probab. Theory Related Fields 167 (2017), no. 1-2, 201--252 (52 pages)



• T. D. & G. Wang
  Decomposition of Lévy trees along their diameter. ,
  Inst. H. Poincaré Probab. Statist. 53 (2017), no. 2, 539--593 (55 pages)



• T. D. & M. Winkel.
  Hereditary tree growth and Levy forests. ,
  Stochastic Process. Appl. 129 (2019), 3690--3747 (58 pages)



• N. Broutin, T. D. & M. Wang
  Limits of multiplicative inhomogeneous random graphs and Levy trees: the continuum graphs. ,
  Ann. Appl. Probab. 32 (2022) no 4,2448-2503 (54 pages)



• N. Broutin, T. D. & M. Wang
  Limits of multiplicative inhomogeneous random graphs and Levy trees:limit theorems. ,
  PTRF (2021) 181, 865--973 (109 pages)



• T. D., R. Khanfir, S. Lin & N. Torri
  Scaling limits of tree-valued branching random walks. ,
  Electron. J. Probab. 27 2022 Paper no 16 (54 pages)

• B. Derrida, T. D. & Z. Shi
  The critical tree of a renormalization model as a growth-fragmentation process. ,
  Submitted to Ann. IHP 2022.



• T. D.
  The coding of compact real trees by real valued functions,