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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 |
The Sylvester question in : convex sets with a flat floor
With Ludovic Morin
arxiv 2411.08456
Markov chains on trees: almost lower and upper directed cases
With Luis Fredes
arxiv 2411.07158
Convex minorant trees associated with Brownian paths and the continuum limit of the minimum spanning tree
With Nicolas Broutin
arxiv 2307.12260
Note on the density of ISE and a related diffusion
With Guillaume Chapuy
arxiv 2210.10159
Inst. Henri Poincaré Comb. Phys. Interact. (2024)
Almost triangular Markov chains on N
With Luis Fredes
version pdf
hal-03343255v1
Electronic Journal of Probability Vol. 28, (Jan 2023) , pages 1-44
Models of random subtrees of a graph
With Luis Fredes
version pdf
arxiv 2102.12738
Probability Surveys 2023, Vol. 20, 722-801.
Parametrised branching processes: a functional version of Kesten & Stigum theorem
arxiv:2106.01426
With Cécile Mailler
Stochastic Processes and their Applications, Volume 152, October 2022, Pages 339-377
A combinatorial proof of Aldous--Broder theorem for general Markov chains
With Luis Fredes
hal-03142148
Random Structures and Algorithms, 2022
Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions
With Luca Lionni
arXiv:1908.02259
Mathematical Physics, Analysis and Geometry, 24, Article number: 39 (2021)
Around Sylvester's question in the plane
With Said Rahmani
hal-02913348v1
Mathematika, 67, Issue4, 2021, 860-884.
Invariant measures of discrete interacting particle systems: Algebraic aspects
With Luis Fredes
arXiv:1711.07713
ESAIM: PS, ESAIM: PS 24 (2020) 526–580
The combinatorics of the colliding bullets problem
With Nicolas Broutin
arXiv:1709.00789
Random stuctures and algorithms, Volume56, Issue2 March 2020
Directed, cylindric and radial Brownian webs
With David Coupier and Viet Chi Tran
Electronic Journal of Probability, Volume 24 (2019), paper no. 20, 48 pp.
The probability that n random points in a disk are in convex position
version pdf
arXiv:1402.3512
Brazilian Journal of Probability and Statistics 2017, Vol. 31, No. 2, 320-337.
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)
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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