Branching processes, Die Grundlehren der mathematischen Wissenschaften, 0196. ,
DOI : 10.1007/978-3-642-65371-1
Hastings-Metropolis algorithm on Markov chains for small-probability estimation, ESAIM: Proceedings and Surveys, vol.48, 2014. ,
DOI : 10.1051/proc/201448013
URL : https://hal.archives-ouvertes.fr/hal-01058939
Handbook of Brownian motion?facts and formulae. Probability and its Applications, 2002. ,
Quasi-stationary distributions and diffusion models in population dynamics, The Annals of Probability, vol.37, issue.5, pp.1926-1969, 2009. ,
DOI : 10.1214/09-AOP451
URL : https://hal.archives-ouvertes.fr/hal-00431844
Competitive or weak cooperative stochastic Lotka???Volterra systems conditioned on non-extinction, Journal of Mathematical Biology, vol.65, issue.4, pp.797-829, 2010. ,
DOI : 10.1007/s00285-009-0285-4
Quasi-stationary distributions of birth-and-death processes, Advances in Applied Probability, vol.2, issue.03, pp.570-586, 1978. ,
DOI : 10.2307/3212128
Invasion and adaptive evolution for individual-based spatially structured populations, Journal of Mathematical Biology, vol.412, issue.3, pp.147-188, 2007. ,
DOI : 10.1007/s00285-007-0072-z
URL : https://hal.archives-ouvertes.fr/hal-00022153
Exponential convergence to quasistationary distribution for one-dimensional and multi-dimensional diffusions, 2014. ,
Quantitative results for the Fleming-Viot particle system in discrete space. ArXiv e-prints, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00915981
Quasi-stationary distributions for structured birth and death processes with mutations. Probability Theory and Related Fields, pp.191-231, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00377518
Quasi-stationary distributions . Probability and its Applications, Markov chains, diffusions and dynamical systems ,
URL : https://hal.archives-ouvertes.fr/hal-00431844
On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains, Journal of Applied Probability, vol.84, issue.01, pp.88-100, 1965. ,
DOI : 10.1214/aoms/1177705139
On quasi-stationary distributions in absorbing continuous-time finite Markov chains, Journal of Applied Probability, vol.28, issue.01, pp.192-196, 1967. ,
DOI : 10.1111/j.1467-842X.1966.tb00168.x
Mathematical analysis and numerical methods for science and technology Evolution problems. II, With the collaboration of Claude Bardos, 1993. ,
Mean field simulation for Monte Carlo integration, of Monographs on Statistics and Applied Probability ,
URL : https://hal.archives-ouvertes.fr/hal-00932211
Particle motions in absorbing medium with hard and soft obstacles, Stochastic Analysis and Applications, vol.22, issue.5, pp.1175-1204, 2004. ,
On the stability of interacting processes with applications to filtering and genetic algorithms. Annales de l'Institut Henri Poincaré, pp.155-194, 2001. ,
Branching and interacting particle systems approximations of feynman-kac formulae with applications to non-linear filtering, Lecture Notes in Mathematics, pp.17291-145, 2000. ,
Markov processes. Vols. I, II, volume 122 of Translated with the authorization and assistance of the author by, Bände, vol.121, 1965. ,
Markov processes Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics, 1986. ,
Existence of Quasi-Stationary Distributions. A Renewal Dynamical Approach, The Annals of Probability, vol.23, issue.2, pp.501-521, 1995. ,
DOI : 10.1214/aop/1176988277
The limiting behavior of transient birth and death processes conditioned on survival, Journal of the Australian Mathematical Society, vol.3, issue.04, pp.716-722, 1968. ,
DOI : 10.2307/1993021
The differential equations of birth-and-death processes, and the Stieltjes moment problem, Transactions of the American Mathematical Society, vol.85, issue.2, pp.489-546, 1957. ,
DOI : 10.1090/S0002-9947-1957-0091566-1
Uniform Conditional Ergodicity and Intrinsic Ultracontractivity, Potential Analysis, vol.23, issue.2, pp.107-136, 2010. ,
DOI : 10.1007/s11118-009-9161-5
The concentration of measure phenomenon, volume 89 of Mathematical Surveys and Monographs, 2001. ,
Uniqueness of Quasistationary Distributions and Discrete Spectra when ??? is an Entrance Boundary and 0 is Singular, Journal of Applied Probability, vol.49, issue.03, pp.719-730, 2012. ,
DOI : 10.1214/09-AOP451
Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity, J. Appl. Probab, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00944275
Quasi-stationary distributions and population processes. Probability Surveys, 2012. ,
Markov chains and stochastic stability, 2009. ,
On the Convergence of Diffusion Processes Conditioned to Remain in a Bounded Region for Large Time to Limiting Positive Recurrent Diffusion Processes, The Annals of Probability, vol.13, issue.2, pp.363-378, 1985. ,
DOI : 10.1214/aop/1176992996
Diffusions, Markov processes, and martingales Cambridge Mathematical Library, Foundations, vol.1, 1994. ,
DOI : 10.1017/cbo9780511805141
Some penalisations of the Wiener measure, Japanese Journal of Mathematics, vol.79, issue.1, pp.263-290, 2006. ,
DOI : 10.1007/s11537-006-0507-0
URL : https://hal.archives-ouvertes.fr/hal-00128461
On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states, Journal of Applied Probability, vol.1, issue.02, pp.403-434, 1966. ,
DOI : 10.1093/qmath/13.1.7
Quasi-stationary distributions and convergence to quasi-stationarity of birth-death processes, Advances in Applied Probability, vol.53, issue.04, pp.683-700, 1991. ,
DOI : 10.1111/j.1467-842X.1969.tb00300.x
Conditions for the existence of quasi-stationary distributions for birth-death processes with killing. Stochastic Process, Appl, vol.122, issue.6, pp.2400-2410, 2012. ,
Quasi-stationary distributions for discrete-state models, European Journal of Operational Research, vol.230, issue.1, pp.1-14, 2013. ,
DOI : 10.1016/j.ejor.2013.01.032
General approximation method for the distribution of Markov processes conditioned not to be killed, ESAIM: Probability and Statistics, eFirst, p.2014 ,
DOI : 10.1051/ps/2013045
URL : https://hal.archives-ouvertes.fr/hal-00598085
Certain limit theorems of the theory of branching random processes. Doklady Akad, Nauk SSSR (N.S.), vol.56, pp.795-798, 1947. ,
-dimensional exponential flights, Physical Review E, vol.83, issue.4, p.41137, 2011. ,
DOI : 10.1103/PhysRevE.83.041137
URL : https://hal.archives-ouvertes.fr/hal-01062411