Williams' decomposition of the Lévy continuous random tree and simultaneous extinction probability for populations with neutral mutations. Preprint, 2008. ,
Pruning a L??vy Continuum Random Tree, Electronic Journal of Probability, vol.15, issue.0, 2009. ,
DOI : 10.1214/EJP.v15-802
URL : http://arxiv.org/abs/0804.1027
Poisson Snake and Fragmentation, Electronic Journal of Probability, vol.7, issue.0, pp.15-1943890, 2002. ,
DOI : 10.1214/EJP.v7-116
URL : https://hal.archives-ouvertes.fr/hal-00170693
The continuum random tree. III. Ann. Probab, pp.248-289, 1993. ,
Tree-valued Markov chains derived from Galton-Watson processes, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.34, issue.5, pp.637-686, 1998. ,
DOI : 10.1016/S0246-0203(98)80003-4
The standard additive coalescent, Ann. Probab, vol.26, pp.1703-1726, 1998. ,
Inhomogeneous continuum random trees and the entrance boundary of the additive coalescent, Probability Theory and Related Fields, vol.118, issue.4, pp.455-482, 2000. ,
DOI : 10.1007/PL00008751
Branching Processes, 1972. ,
DOI : 10.1007/978-3-642-65371-1
Asymptotics of the Allele Frequency Spectrum Associated with the Bolthausen-Sznitman Coalescent, Electronic Journal of Probability, vol.13, issue.0, pp.486-512, 2008. ,
DOI : 10.1214/EJP.v13-494
URL : https://hal.archives-ouvertes.fr/hal-00156487
Beta-coalescents and continuous stable random trees, The Annals of Probability, vol.35, issue.5, pp.1835-1887, 2007. ,
DOI : 10.1214/009117906000001114
Renewal Theory for Embedded Regenerative Sets, The Annals of Probability, vol.27, issue.3, pp.1523-1535, 1999. ,
DOI : 10.1214/aop/1022677457
A fragmentation process connected to Brownian motion, Probability Theory and Related Fields, vol.117, issue.2, pp.289-301, 2000. ,
DOI : 10.1007/s004400050008
Random Fragmentation and Coagulation Processes, Cambridge Studies in Advanced Mathematics, vol.102, 2006. ,
DOI : 10.1017/CBO9780511617768
URL : https://hal.archives-ouvertes.fr/hal-00103015
The dispersion of a neutral allele considered as a branching process, Journal of Applied Probability, vol.32, issue.02, pp.208-218, 1976. ,
DOI : 10.2307/3211879
Asymptotic results on the length of coalescent trees, The Annals of Applied Probability, vol.18, issue.3, pp.997-1025, 2008. ,
DOI : 10.1214/07-AAP476
URL : https://hal.archives-ouvertes.fr/hal-00151205
Exchangeable partitions derived from Markovian coalescents, The Annals of Applied Probability, vol.17, issue.4, pp.1172-1201, 2007. ,
DOI : 10.1214/105051607000000069
URL : http://arxiv.org/abs/math/0603745
Random trees, Lévy processes and spatial branching processes, Astérisque, vol.281, pp.147-1954248, 2002. ,
Probabilistic and fractal aspects of L???vy trees, Probability Theory and Related Fields, vol.101, issue.4, pp.553-603, 2005. ,
DOI : 10.1007/s00440-004-0385-4
The total progeny in a branching process and a related random walk, Journal of Applied Probability, vol.1, issue.03, pp.682-686, 1969. ,
DOI : 10.1007/BF00531752
The sampling theory of selectively neutral alleles, Theoretical Population Biology, vol.3, issue.1, pp.87-112, 1972. ,
DOI : 10.1016/0040-5809(72)90035-4
An Introduction to Probability Theory and Its Applications II, 1971. ,
An infinite-alleles version of the simple branching process, Advances in Applied Probability, vol.34, issue.03, pp.489-524, 1988. ,
DOI : 10.2307/1426333
First passage and recurrence distributions, Transactions of the American Mathematical Society, vol.73, issue.3, pp.471-486, 1952. ,
DOI : 10.1090/S0002-9947-1952-0052057-2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.463.8576
The Theory of Branching Processes, 1963. ,
DOI : 10.1007/978-3-642-51866-9
Branching Processes in Biology, Interdisciplinary Applied Mathematics, vol.19, 2002. ,
Mathematics of Genetic Diversity, CBMS-NSF Regional Conference Series in Applied Mathematics 34. SIAM, 1980. ,
DOI : 10.1137/1.9781611970357
Spine decompositions and allelic partitions of splitting trees, 2008. ,
Random trees and applications, Probability Surveys, vol.2, issue.0, pp.245-311, 2005. ,
DOI : 10.1214/154957805100000140
A contact process with mutations on a tree, Stochastic Processes and their Applications, vol.118, issue.3, pp.319-332, 2008. ,
DOI : 10.1016/j.spa.2007.04.007
Probability on trees and networks, 2008. ,
DOI : 10.1017/9781316672815
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.1383
Ordered Additive Coalescent and Fragmentations Associated to L??vy Processes with No Positive Jumps, Electronic Journal of Probability, vol.6, issue.0, p.33, 2001. ,
DOI : 10.1214/EJP.v6-87
On sampling distributions for coalescent processes with simultaneous multiple collisions, Bernoulli, vol.12, pp.35-53, 2006. ,
Branching processes and neutral mutations, Proceedings of the First World Congress of the Bernoulli Society, pp.683-692, 1986. ,
Size-biased sampling of Poisson point processes and excursions, Probability Theory and Related Fields, vol.28, issue.1, pp.21-39, 1992. ,
DOI : 10.1007/BF01205234
Combinatorial Stochastic Processes, Lecture Notes in Math, 1875. ,
Spatial and nonspatial stochastic models for immune response. Markov Process, pp.255-276, 2008. ,
Applications of the continuous-time ballot theorem to Brownian motion and related processes, Stochastic Processes and their Applications, vol.95, issue.1, pp.151-176, 2001. ,
DOI : 10.1016/S0304-4149(01)00097-7
Branching Processes and Neutral Evolution, Lecture Notes in Biomathematics, vol.93, 1992. ,
Combinatorial Methods in the Theory of Stochastic Processes, 1967. ,