Curien Nicolas

Professeur, équipe Probabilités et Statistique

Université Paris-Sud Orsay
Bâtiment 425
91405 Orsay, France
E-mail: nicolas.curien"atchoum"
Bureau: Bâtiment 425 Bureau 320
Téléphone: +33 1 69 15 57 67

Recherche :

Martingales in self-similar growth-fragmentations and their connections with random planar maps with J. Bertoin, T. Budd and I. Kortchemski (preprint).
Geometry of infinite planar maps with high degrees with T. Budd (preprint).
First-passage percolation and local modifications of distances in random triangulations with J.F. Le Gall (preprint).
Geometry of the Uniform Infinite Half-Planar Quadrangulation with A. Caraceni (preprint).
Random planar maps & growth-fragmentations with J. Bertoin and I. Kortchemski (preprint).
Scaling limits for the peeling process on random maps with J.F. Le Gall, in Ann. Inst. Henri Poincaré.
Random trees constructed by aggregation with B. Haas (preprint).
The hull process of the Brownian plane with J.F. Le Gall, in PTRF.
Scaling limits and influence of the seed graph in preferential attachment trees with T. Duquesne, I. Kortchemski and I. Manolescu, in Journal de l'Ecole Polytechnique.
Planar stochastic hyperbolic infinite triangulations in PTRF.
The local limit of unicellular maps in high genus with O. Angel, G. Chapuy and G. Ray, in Elec. Comm. Prob.
A glimpse of the conformal structure of random planar maps in Commun. Math. Phys.
Percolation on random triangulations and stable looptrees with I. Kortchemski, in PTRF.
The CRT is the scaling limit of random dissections with B. Haas and I. Kortchemski, in Rand. Struct. Algo.
The harmonic measure of balls in random trees with J.F. Le Gall, in Ann. Prob.
Random stable looptrees with I. Kortchemski, in Elec. Journal. Probab.
Percolations on random maps I: Half-plane models with O. Angel, in Ann. Inst. Henri Poincare.
The stable trees are nested with B. Haas, in PTRF.
The Brownian plane with J.F. Le Gall, in J. Theoret. Probab.
The Liouville and the intersection properties are equivalent for planar graphs with I. Benjamini and A. Georgakopoulos, in Elec. Comm. Prob.
Simple random walk on the uniform infinite planar quadrangulation: Subdiffusivity via pioneer points with I. Benjamini, in GAFA.
Uniform infinite planar quadrangulation with a boundary with G. Miermont, in Rand. Struct. Algo.
Random non-crossing plane configurations: A conditioned Galton-Watson tree approach with I. Kortchemski, in Rand. Struct. Algo.
A view from infinity of the uniform infinite planar quadrangulation with L. Menard and G. Miermont, in ALEA.
Iterating Brownian motions, ad libitum with T. Konstantopoulos, in J. Theoret. Probab.
Strong convergence of partial match queries in random quadtrees in Combinatorics, Probability and Computing.
The Markovian hyperbolic triangulation with W. Werner, in JEMS.
Recurrence of the Z^d-valued infinite snake via unimodularity with I. Benjamini, in Elec. Comm. Prob.
Random laminations and multitype branching processes with Y. Peres, in Elec. Comm. Prob.
The Brownian cactus I with J.F. Le Gall and G. Miermont, in Ann. Inst. Henri Poincare.
Ergodic theory on stationary random graphs with I. Benjamini, in Electron. J. Probab.
Partial match queries in two-dimensional quadtrees: a probabilistic approach with A. Joseph, in Adv. Appl. Prob.
Random recursive triangulations of the circle via fragmentation theory with J.F. Le Gall, in Ann. Prob.
On limits of graphs sphere packed in Euclidean space and applications with I. Benjamini, in Europ. J. Comb.

Le manuscrit de ma thèse (réalisée sous la direction de Jean-François Le Gall) est disponible ici, et les transparents ici.
Le manuscrit de mon HDR est disponible ici.

Article de survol/vulgarisation/mini-cours :

A quoi ressemble un planisphere vraiment aléatoire ?
Dissecting the circle, at random
Lecture notes for the mini-course of the IX-th YEP (March 2012)
2ème séminaire Itzykson (english version)

Enseignement :

Notes provisoires du cours Peccot.
Notes provisoires du cours de M2 "graphes aléatoires".
Tsinghua lecture notes
Les TDs du cours de Jean Bertoin "Intégration & Probabilités" 2008/2009 et 2009/2010.
Notes pour le mini-cours "Transformations conformes et probabilités"
Tutorials for the lectures of J.F. Le Gall & G. Miermont at the Clay Institute 2010 Summer School.
Support for the lectures given (with I. Benjamini) during the AGORA meeting 2011 in "Chateau de Goutelas".
Notes pour le cours Inter'Actions.

Séminaires :

Séminaire informel de probabilités

Journées "Cartes aléatoires" 16 Mars 2012 , 15 Mai 2012 , 22 octobre 2012 , 30 novembre 2012, 2 Juin 2014, 24 octobre 2014, 9 décembre 2014.

Workshop : "Two-dimensional random critical models" in Paris, July 7 -11 2014.