Mes publications
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[56] H. Omar Ali, R. Abraham, B. Galerne.Depth separable
architecture for sentinel-5P super-resolution.
Preprint
PDF
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[55] H. Omar Ali, R. Abraham, G. Desoubeaux, A. Fahal,
C. Tauber.
MyData: A Comprehensive Database of Mycetoma Tissue Micro-
scopic Images for Histopathological Analysis.
Preprint
ArXiv
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[54] R. Abraham, J.-F. Delmas, J. Weibel.
Probability-graphons: Limits of large dense weighted graphs.
Preprint
ArXiv
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[53] R. Abraham, H. Bi, J.-F. Delmas. Conditioning Bienaymé-Galton-Watson trees to have
large sub-populations.
Preprint.
ArXiv
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[52] R. Abraham, J.F. Delmas, M. Nassif. Conditioning
(sub)critical Lévy trees by their maximal degree:
decomposition and local limit.
Preprint.
ArXiv, PDF.
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[51] R. Abraham, J.-F. Delmas, H. He. Continuum random tree conditioned to be large.
Preprint.
ArXiv, PDF
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[50] R. Abraham, S. Boulal, P. Debs. Penalization of Galton Watson trees with marked vertices.
J. of Th. Probab. 37, 3688-3724, 2024.
ArXiv
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[49] H. Omar Ali, R. Abraham, G. Desoubeaux, A. Fahal,
C. Tauber. Evaluation of a computational model for Mycetoma causative agents identification.
Transactions of the Royal Society of
Tropical Medicine and Hygiene 118, 253-263, 2024.
Journal.
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[48] R. Abraham, J.F. Delmas, M. Nassif. Global regime for general additive functionals of conditioned Bienaymé-Galton-Watson tree.
Probab. Th. and rel. Fields, 182,277-351,2022.
PDF
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[47] R. Abraham, J.F. Delmas, H. He. Some properties of stationary continuous state branching processes.
Stoc. Proc. and Appli., 141, 309-343, 2021.
ArXiv,
PDF
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[46] R. Abraham, J.F. Delmas. Exact simulation of
the genealogical tree for a stationary branching population and
application to the asymptotics of its total length.
Advances Appl. Probab 53, 537-574, 2021.
ArXiv,
PDF
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[45] R. Abraham, A. Bouaziz, J.F. Delmas. Very fat geometric
Galton-Watson trees.
ESAIM: P&S 24, 294-314, 2020.
ArXiv,
PDF
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[44] R. Abraham, P. Debs. Penalization of Galton-Watson
processes.
Stoch. Proc. and Appli. 130, 3095-3119, 2020.
ArXiv,
PDF
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[43] R. Abraham, J.F. Delmas. Asymptotic properties of
expanding Galton-Watson trees.
Elec. J. of Probab. 24, paper 15, 1-51, 2019.
ArXiv,
PDF
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[42] M. Bergounioux, I. Abraham, R. Abraham, G. Carlier, E. Le
Pennec, E. Trélat. Variational methods for tomographic
reconstruction with few views.
Milan J. of Math. 86, 157-200, 2018.
[41] R. Abraham, J.F. Delmas. Reversal property of the Brownian tree.
ALEA, Lat. Am. J. Probab. Math. Stat. 15, 1293-1309, 2018.
PDF
- [40] R. Abraham, M. Bergounioux, P. Debs. Automatic choice
of the threshold of a grain filter via
Galton-Watson trees. Application to granite cracks detection.
J. Math. Imaging Vis. 60, 50-69, 2018.
ArXiv,
PDF
- [39] R. Abraham, J.F. Delmas, H. Guo. Critical multi-type
Galton-Watson trees conditioned to be large.
J. of Th. Probab. 31, 757-788, 2018.
ArXiv,
PDF
- [38] R. Abraham, A. Bouaziz, J.F. Delmas. Local limits of
Galton-Watson trees conditioned on the number of protected nodes.
J. of Appl. Probab. 54, 55-65, 2017.
ArXiv,
PDF
- [37] R. Abraham, J.F. Delmas. An introduction to
Galton-Watson trees and their local limits.
Cours donné à Hammamet, Décembre 2014.
Preprint
ArXiv,
PDF
- [36] I. Abraham, R. Abraham, M. Bergounioux, G. Carlier.
Tomographic reconstruction from a few views: a multi-marginal
optimal transport approach.
Applied Mathematics and Optimization 75, 55-73, 2017
PDF
- [35] A. Walbron, S. Chupin, M. Bergounioux, R. Abraham,
D. Rochais. Sphere Recognition for Foams Composite Materials
Images.
Conférence IPTA, 2015
- [34] A. Walbron, S. Chupin, D. Rochais, R. Abraham,
M. Bergounioux.
3D Image Segmentation and Cylinder Recognition for Composite Materials.
2nd International Congress on 3D Materials Science.
PDF
- [33] R. Abraham, J.F. Delmas. Beta-coalescents and stable
Galton-Watson trees.
ALEA 12, 451-476, 2015.
ArXiv,
PDF
- [32] R. Abraham, J.F. Delmas, H. He. Pruning of
CRT-sub-trees.
Stoch. Proc. and Appl. 125, 1569-1604, 2015.
ArXiv,
PDF
- [31] R. Abraham, J.F. Delmas. Local limits of conditioned
Galton-Watson trees: the condensation case.
Elec. J. of Probab. 19, article 56, 1-29, 2014.
- [30] R. Abraham, J.-F. Delmas, P. Hoscheit. Exit times for an
increasing Lévy tree-valued process.
Probab. Th. and rel. Fields 159, 357-403, 2014.
ArXiv,
PDF
- [29] R. Abraham, J.F. Delmas. Local limits of conditioned
Galton-Watson trees: the infinite spine case.
Elec. J. of Probab. 19, article 2, 1-19, 2014.
- [28] R. Abraham, J.-F. Delmas. The forest associated with
the record process on a Lévy tree.
Stoch. Proc. and Appl. 123, 3497-3517, 2013.
ArXiv,
PDF
- [27] R. Abraham, J.-F. Delmas. A construction of a
$\beta$-coalescent via the pruning of Binary Trees.
J. of Appl. Probab. 50, 772-790, 2013.
ArXiv,
PDF
- [26] R. Abraham, J.-F. Delmas. Record process on the
continuum random tree.
ALEA,
Lat. Am. J. Probab. Math. Stat. 10, 225-251,2013.
- [25] R. Abraham, J.-F. Delmas, P. Hoscheit. A note on
Gromov-Hausdorff-Prokhorov distance between (locally) compact
measure spaces.
Elec. J. of Probab. 18, 1-21, 2013.
- [24] R. Abraham, J.-F. Delmas, H. He. Pruning Galton-Watson
Trees and Tree-valued Markov Processes.
Annales de l'IHP, (B) Probab. et Stat. 48, 688-705, 2012.
ArXiv,
PDF
- [23] R. Abraham, J.-F. Delmas. A continuum tree valued
Markov process.
Annals of Probab. 40, 1167-1211, 2012.
ArXiv,
PDF
- [22] R. Abraham, J.-F. Delmas, G. Voisin. Pruning a
Lévy continuum random tree.
Elec. J. of probab. 15, 1429-1473, 2010.
- [21] R. Abraham, J.F. Delmas. Williams' decomposition of the
Lévy continuous random tree and
simultaneous extinction probability for populations with
neutral mutations.
Stoch. Proc. and
Appl. 119, 1124-1143, 2009
ArXiv,
PDF
- [20] R. Abraham, J.F. Delmas. Changing the branching mechanism of a continuous state branching
process using immigration.
Annales de l'IHP 45, 226-238, 2009.
PDF
- [19] R. Abraham, M. Bergounioux, E. Trélat. A penalization approach for tomographic reconstruction of binary axially symmetric objects.
Applied Mathematics and Optimization 58, 345-371, 2008.
PDF
- [18] I. Abraham, R. Abraham, M. Bergounioux. An active curve approach for tomographic reconstruction of binary
radially symmetrical objects.
Numerical Mathematics and Advanced Applications, Proceedings of
ENUMATH 2007, Graz, pp 663-671, 2008.
PDF
- [17] R. Abraham, J.F. Delmas. Fragmentation
associated with Lévy processes using snake.
Prob. Th. rel. Fields, 141, 113-154, 2008
ArXiv,
PDF
- [16] R. Abraham, J.S. Dhersin, B. Ycart. Strong convergence for urn models with reducible replacement policy.
Journal Applied Probab. 44, 652-660, 2007
PDF
- [15] I. Abraham, R. Abraham, A. Desolneux, S. Li-Tiao-Te. Significant edges in the case of a non-stationnary Gaussian noise.
Pattern Recognition 40, 3277-3291, 2007
ArXiv,
PDF
- [14] R. Abraham, J.F. Delmas. Asymptotics for the small fragments of the fragmentation at nodes.
Bernoulli 13, 211-228, 2007.
PDF
- [13] R. Abraham, J.F. Delmas. Feller property and infinitesimal generator of the exploration
process.
J. of Th. Probab. 20, 355-370, 2007
Arxiv,
PDF
- [12] R. Abraham, O. Rivière. Forward-backward stochastic differential equations
and PDE with gradient dependent second order coefficients.
ESAIM:P.S. 10, 184-205, 2006
- [11] I. Abraham, R. Abraham, J.M. Lagrange, F. Lavallou. Méthodes inverses pour la reconstruction tomographique X
mono-vue.
CHOCS - Revue scientifique et technique de la Direction des
applications militaires, 31, 2005
- [10]R. Abraham, J.F. Delmas. Solutions of $\Delta u=4 u^2$
with Neumann's conditions using the Brownian snake.
Probab. Th. rel. Fields 128, 475 - 516, 2004
- [9] R. Abraham, L. Serlet. Poisson snake and fragmentation.
Electronic
Journal of Probability, Vol. 7, 1-15, 2002
- [8] R. Abraham, L. Serlet. Representations of the Brownian snake with drift.
Stochastics and stochastic Reports 73, 287-308, 2002
- [7] R. Abraham, J.F. Delmas. Some properties of the exit measure for super-Brownian motion.
Probab. Th. rel. Fields 122, 71-107, 2002
- [6] R. Abraham. Reflecting Brownian snake and a Neumann-Dirichlet problem.
Stoc. Proc. and their Appl. 89, 239-260, 2000
- [5] R. Abraham, L. Mazliak. Branching properties of brownian paths and trees.
Expositiones Mathematicae 16, 59-74, 1998
- [4] R. Abraham, W. Werner. Avoiding-probabilities for Brownian snakes and super-Brownian motion.
Electronic
Journal of Probability, Vol. 2, 1-27, 1997
- [3] R. Abraham. On the connected components of the support of super-Brownian motion
and of its exit measure.
Stoc. Proc. and their Appl. 60, 227-245, 1995
- [2] R. Abraham, J.F. Le Gall. Sur la mesure de sortie du super-mouvement brownien.
Probab. Th. rel. Fields 99, 251-275, 1994
- [1] R. Abraham. Un arbre aléatoire associé à l'excursion brownienne.
Séminaire de probabilités XXVI, Lecture Notes in Math.
1526, 374-397, 1992