BIBLIOGRAPHIE
2 7
[38] F. Hoppe. Pólya-like urns and the Ewens’ sampling formula. J. Math. Biol. 20, pp.
91-94, 1984.
[39] S.P. Hubbell. The unified neutral theory of biodiversity and biogeography. Princeton
University Press, Monographs in population biology, 2001.
[40] N. Ikeda, S. Watanabe. Stochastic Differential Equations and Diffusion Processes,
2nd Edition. North-Holland Publishing Company, 1989.
[41] J. Istas. Introduction aux modélisations mathématiques pour les sciences du vivant.
Springer, 2000.
[42] J. Jacod, P. Protter. L’essentiel en théorie des probabilités. Cassini, 2002.
[43] T.H. Jukes, C.R. Cantor. Evolution of protein molecules. In Mammalian Protein
Metabolism. Monro, H.HN (eds), 21–132, Academic Press, New York, 1969.
[44] I. Kaj, S. Sagitov. Limit processes for age-dependent branching particle systems. J.
Theoret. Prob. 11 (1), 225–257, 1998.
[45] I. Karatzas, S.E. Shreve : Brownian Motion and Stochastic Calculus, Second Edition.
Springer, 1998.
[46] S. Karlin and H. M. Taylor. A First Course in Stochastic Processes. Academic Press
[A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, second
edition, 1975.
[47] S. Karlin, H.M. Taylor. A Second Course in Stochastic Processes. Academic Press,
1981.
[48] M. Kimmel, D.E. Axelrod. Branching Processes in Biology. Springer, 2002.
[49] J.F.C. Kingman. The coalescent. Stoch. Process. Appl. 13, no. 3, 235–248, 1982.
[50] M. Kot. Elements of Mathematical Biology. Cambridge, 2001.
[51] T. Lagache, D. Holcman : Effective motion of a virus trafficking inside a biological
cell. SIAM J. Appl. Math. 68, no. 4, 1146–1167, 2008.
[52] P. Lafitte-Godillon, K. Raschel, C.V. Tran. Extinction probabilities for distylous
plant population modeled by an inhomogeneous random walk on the positive quadrant.
SIAM J. Appl. Math. 73, No. 2, 700–722, 2013.
[53] A. Lambert. Population Dynamics and Random Genealogies. Stoch. Models 24, 45–
163, 2008.
[54] C. Lipow. Limiting diffusions for population size dependent branching processes. J.
Appl. Prob. 14, 14–24, 1977.
[55] S. Méléard. Aléatoire : Introduction à la théorie et au calcul des probabilités. Editions
de l’Ecole Polytechnique, 2010.
[56] S. Méléard. Random modeling of adaptive dynamics and evolutionary branching.
The Mathematics of Darwin’s Legacy, F. Chalub J.F. Rodrigues eds, Birhauser, 2011.
[57] S. Méléard, D. Villemonais Quasi-stationary distributions and population processes.
Probability Surveys, Vol. 9, 340–410, 2012.
6
2 7
[38] F. Hoppe. Pólya-like urns and the Ewens’ sampling formula. J. Math. Biol. 20, pp.
91-94, 1984.
[39] S.P. Hubbell. The unified neutral theory of biodiversity and biogeography. Princeton
University Press, Monographs in population biology, 2001.
[40] N. Ikeda, S. Watanabe. Stochastic Differential Equations and Diffusion Processes,
2nd Edition. North-Holland Publishing Company, 1989.
[41] J. Istas. Introduction aux modélisations mathématiques pour les sciences du vivant.
Springer, 2000.
[42] J. Jacod, P. Protter. L’essentiel en théorie des probabilités. Cassini, 2002.
[43] T.H. Jukes, C.R. Cantor. Evolution of protein molecules. In Mammalian Protein
Metabolism. Monro, H.HN (eds), 21–132, Academic Press, New York, 1969.
[44] I. Kaj, S. Sagitov. Limit processes for age-dependent branching particle systems. J.
Theoret. Prob. 11 (1), 225–257, 1998.
[45] I. Karatzas, S.E. Shreve : Brownian Motion and Stochastic Calculus, Second Edition.
Springer, 1998.
[46] S. Karlin and H. M. Taylor. A First Course in Stochastic Processes. Academic Press
[A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, second
edition, 1975.
[47] S. Karlin, H.M. Taylor. A Second Course in Stochastic Processes. Academic Press,
1981.
[48] M. Kimmel, D.E. Axelrod. Branching Processes in Biology. Springer, 2002.
[49] J.F.C. Kingman. The coalescent. Stoch. Process. Appl. 13, no. 3, 235–248, 1982.
[50] M. Kot. Elements of Mathematical Biology. Cambridge, 2001.
[51] T. Lagache, D. Holcman : Effective motion of a virus trafficking inside a biological
cell. SIAM J. Appl. Math. 68, no. 4, 1146–1167, 2008.
[52] P. Lafitte-Godillon, K. Raschel, C.V. Tran. Extinction probabilities for distylous
plant population modeled by an inhomogeneous random walk on the positive quadrant.
SIAM J. Appl. Math. 73, No. 2, 700–722, 2013.
[53] A. Lambert. Population Dynamics and Random Genealogies. Stoch. Models 24, 45–
163, 2008.
[54] C. Lipow. Limiting diffusions for population size dependent branching processes. J.
Appl. Prob. 14, 14–24, 1977.
[55] S. Méléard. Aléatoire : Introduction à la théorie et au calcul des probabilités. Editions
de l’Ecole Polytechnique, 2010.
[56] S. Méléard. Random modeling of adaptive dynamics and evolutionary branching.
The Mathematics of Darwin’s Legacy, F. Chalub J.F. Rodrigues eds, Birhauser, 2011.
[57] S. Méléard, D. Villemonais Quasi-stationary distributions and population processes.
Probability Surveys, Vol. 9, 340–410, 2012.
6