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Artistic illustration |
On this page , are provided simulations of ...quadrangulations, trees, snakes, Brownian processes (motion, excursion, bridge, meander), their local time process at time 1, loop erased random walks, uniform spanning tree of the grid, Bessel processes |

Around Sylvester's question in the plane

arXiv: 1511.03658

Submitted

With Jérôme Casse

arXiv:1504.06433

Submitted

The probability that n random points in a disk are in convex position

version pdf

arXiv:1402.3512

To appear in Brazilian Journal of Probability and Statistics (2016)?

With Nicolas Broutin

arXiv:1409.4266

to appear in Probability theory and related fields Markovianity of the invariant distribution of probabilistic cellular automata on the line

With Jérôme Casse

arXiv:1401.5365

Stochastic processes and their applications, Volume 125, Issue 9, September 2015, Pages 3458-3483

Compact convexes of the plane and probability theory

With David Renault

version pdf

ESAIM: Probability and Statistics, Volume 18, Jan. 2014, pp 854-880

**A functional central limit theorem for the partial sums of sorted i.i.d. random variables**

With David Renault
** version.ps.gz version pdf** arXiv:1302.6926

**Unpublished (2013)
**

With Yao-ban Chan and Thomas Selig

version.pdf arxiv.org/abs/1209.2038

JCTA , Volume 120, Issue 7, September 2013, Pages 1913–1928

Many empty triangles have a common edge

With Imre Bárány and Matthias Reitzner

arxiv.org/abs/1209.3928 version.pdf

Discrete and Computational Geometry, Vol 50, Issue 1,p 244-252 (2013)

Directed animals, quadratic and rewriting systems

Electron. Journal Comb. 19, No. 3, Research Paper P45, 31 p., electronic only (2012).

Asymptotic of trees with a prescribed degree sequence and applications

With Nicolas Broutin

version.ps.gz version pdf
arXiv:1110.5203

Random Structures and Algorithms, Volume 44, Issue 3, pages 290–316, May 2014 (online sept.2012)

Asymptotic of geometrical navigation on a random set of points of the plane

With Nicolas Bonichon

version.ps.gz version pdf
arXiv:1009.4679

Advances in Applied Probability Volume 43, Number 4 (2011), 899-942.

The CRT is the scaling limit of unordered binary trees

With Grégory Miermont

arXiv: 0902.4570
version.ps.gz version pdf

Random Structures and Algorithms Volume 38, Issue 4, July 2011, Pages: 467–501,

On the reduction of a random basis

With A. Akhavi and A. Rouault

version pdf)
version ps.gz)
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)

Uniform bounds for the exponential moments of the maximum of Dyck paths

With O. Khorunzhiy,

arXiv:0902.1229
version.ps version pdf

Electronic Communications in Probability, (2009) paper 33, 327-333

Election algorithms with random delays in trees

With N. Saheb-Djahromi and A. Zemmari,

version.ps.gz version pdf

PSAC 2009, to appear in DMTCS

**A symmetry property of some harmonic algebraic curves**

With J.C. Aval
** version.ps.gz version pdf**
arXiv:0805.2016

**Unpublished
**

Some families of increasing planar maps

With M. Albenque

version.ps.gz version pdf arXiv:0712.0593

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

With Y. Le Borgne

version.ps.gz
version pdf Arxiv: math.PR/0611194

The Electronic Journal of Combinatorics , R71, (2007)

The lineage process in Galton-Watson trees and globally centered discrete snakes

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

With C. Lavault and V. Ravelomanana.

version.ps.gz version pdf

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

With J.M. Labarbe.

version.ps.gz version pdf
Arxiv : math.PR/0601624

Electronic journal of probability, (2007), p. 229-261.

Invariance principles for random bipartite planar maps

With G. Miermont

(version pdf)Arxiv : math.PR/0504110

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

Limit of Normalized Quadrangulations: the Brownian map

With A. Mokkadem,

(not
the last version.ps.gz) version
pdf Arxiv math.PR/0403398

The Annals of probability, Vol. 34, No.6, p. 2144-2202, (2006)

Martingales and Profile of Binary Search Trees

With B. Chauvin, T. Klein, A. Rouault

version.ps.gz version pdf
Long version: Arxiv : math.PR/0410211

Electronic journal of probability, 10 (2005), no. 12, p. 420--435

Convergence of Discrete Snakes

With S. Janson

version.ps.gz
version pdf

Journal of theoretical probability, 18, No. 3 , 615-- 645 (2005)

Reinforced weak convergence of stochastic processes

With Michael Drmota

version ps.gz version pdf

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

With A. Mokkadem

version.ps.gz
version pdf

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

With A. Mokkadem.

version.ps.gz version pdf

Journal of Applied Probability, 40.3, 671- 689, (2003)

A Stochastically Quasi-Optimal Search Algorithm for the Maximum of the Simple Random Walk

With P. Chassaing and M. Yor.

version ps.gz version pdf

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

With A. Mokkadem.

version.ps.gz version pdf

The
Annals of probability, Vol. 31, No. 3 - July, p. 1655-1678
(2003).

Non-crossing Trees are Almost Conditioned Galton-Watson trees

With Alois Panholzer

version ps.gz version pdf

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

With P. Chassaing.

version ps.gz version pdf

The Electronic Journal of Combinatorics 8 (2001), R14.

The height and width of simple trees

With P. Chassaing and M. Yor.

version ps.gz version pdf

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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