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The versions provided below may present (very) slight differences with the published versions.  If some links do not work, please, tell me!!

Artistic illustration 

- The Brownian map
- The Brownian tree
- The Brownian snake
- The hairy snake

Artist: Emmanuelle Marckert (a sister of mine)



Publications                      Coauthors Web Pages

The CRT is the scaling limit of unordered binary trees
arXiv: 0902.4570
(version.ps.gz) (version pdf)
To appear in Random Structures and algorithms

With Grégory Miermont


Uniform bounds for the exponential moments of the maximum of Dyck paths
arXiv:0902.1229 (version.ps) (version pdf)
With O. Khorunzhiy, Electronic Communications in Probability, (2009) paper 33, 327-333

Election algorithms with random delays in trees
(version.ps.gz) (version pdf)
With N. Saheb-Djahromi and A. Zemmari,
FPSAC 2009, to appear in DMTCS

A symmetry property of some harmonic algebraic curves
(version.ps.gz) (version pdf) arXiv:0805.2016
Unpublished
With J.C. Aval

Some families of increasing planar maps 
(version.ps.gz) (version pdf)
arXiv:0712.0593 
With M. Albenque
Electronic journal of probability, (2008), paper 56, 1624-1671.

One more approach to the convergence of the empirical process to the Brownian bridge  
(version.ps.gz) (version pdf)
Arxiv : abs/0710.3296 
Electronic journal of Statistics, Vol.2. (2008)
p.118-126.  

Directed Animals and Gas Models Revisited
(revised version of Directed animals in the gas)
(version.ps.gz) (version pdf)(Arxiv : math.PR/0611194)

With Y. Le Borgne
The Electronic Journal of Combinatorics , R71, (2007).

The lineage process in Galton-Watson trees and globally centered discrete snakes 
(revised version of Globally centered discrete snake)
(version.ps.gz) (version pdf)
Arxiv : math.PR/0606338
Annals of Applied Probability, Vol. 18, No. 1, 209-244, (2007)

Quasi-Optimal Energy-Efficient Leader Election Algorithms in Radio Networks
(version.ps.gz) (version pdf)

With C. Lavault and V. Ravelomanana. Information and Computation, Vol. 205, Issue 5, May (2007), p. 679-693

Asymptotics of Bernoulli random walks, bridges, excursions and meanders with a given number of peaks
(version.ps.gz) (version pdf)
(Arxiv : math.PR/0601624)
With J.M. Labarbe. Electronic journal of probability, (2007), p. 229-261.

Invariance principles for random bipartite planar maps
(version pdf)(Arxiv : math.PR/0504110)

With G. Miermont The Annals of probability, (2007), Vol. 35, No.5, p. 1642-1705

On the reduction of a random basis
 (version pdf)
(version ps.gz)

With A. Akhavi and A. Rouault

ESAIM: PS 13 (2009) p. 437-458

Short version : Analco, Proceedings of the ninth workshop on algorithm engineering 
and experiments and the fourth workshop on analytic algorithmics and combinatorics, 
edited by David Applegate, Gerth Stoling  Brodal, Daniel Panario and Robert 
Sedgewick,  New Orleans LA, SIAM (2007)


Limit of Normalized Quadrangulations: the Brownian map

(not the last version.ps.gz) (version pdf)
(Arxiv : math.PR/0403398)
With A. Mokkadem,
The Annals of probability, Vol. 34, No.6, p. 2144-2202, (2006)

Martingales and Profile of Binary Search Trees
(version.ps.gz) (version pdf) (Long version: Arxiv : math.PR/0410211)
With B. Chauvin, T. Klein, A. Rouault Electronic journal of probability, 10 (2005), no. 12, p. 420--435

Convergence of Discrete Snakes
(version.ps.gz) (version pdf)
With S. Janson Journal of theoretical probability, 18, No. 3 , 615-- 645 (2005)

Reinforced weak convergence of stochastic processes
(version ps.gz) (version pdf)
With Michael Drmota. Statistics & Probability Letters, Vol. 71, Issue 3, 1 March (2005), Pages 283-294

The rotation correspondence is asymptotically a dilatation
(version.ps.gz) (version pdf)
Random Structures and Algorithms Vol. 24, Issue 2, (2004), p. 118-132

States spaces of the snake and of its tour -- Convergence of the discrete snake
(version.ps.gz) (version pdf)
With A. Mokkadem.  Journal of theoretical probability, Vol. 16, No. 4, October (2003), p.1015-1046.

Ladder variables, Internal structure of Galton-Watson trees and Finite branching random walks
(version.ps.gz) (version pdf)
With A. Mokkadem.  Journal of Applied Probability, 40.3, 671- 689, (2003)

A Stochastically Quasi-Optimal Search Algorithm for the Maximum of the Simple Random Walk
(version ps.gz)(version pdf)
 With P. Chassaing & M. Yor.  Annals of Applied Probability, (2003) p. 1264-1295, vol 13, no. 4. 

The depth first processes of Galton-Watson trees converge to the same Brownian excursion
(version.ps.gz) (version pdf)
With A. Mokkadem. The Annals of probability, Vol. 31, No. 3 - July, p. 1655-1678 (2003).

Non-crossing Trees are Almost Conditioned Galton-Watson trees
(version ps.gz) (version pdf)
With Alois Panholzer  Random Structures and Algorithms, Vol 20.1, (2002), p.115-125

Parking with density
(version ps.gz) (version pdf)
Random Structures and Algorithms, Vol 18, 4, p.364-380, (2001).

Parking functions, empirical processes and the width of rooted labeled trees,
(version ps.gz) (version pdf)
With P. Chassaing.  The Electronic Journal of Combinatorics 8 (2001), R14.

The height and width of simple trees
(version ps.gz)(version pdf)
 With P. Chassaing and M. Yor. Mathematics and Computer Science : Algorithms, Trees, Combinatorics and Probabilities (Versailles 2000), p. 17-30.  Editors : D. Gardy, A. Mokkadem - Birkhauser

The contour of size n general planar tree
(version ps.gz ) (version pdf)
Unpublished (2000)


these (PHD Thesis)
(version ps.gz) (version pdf)


habilitation
(version ps.gz) (version pdf)




 
 

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