E. Aidekon, S. Harris, and R. Pemantle, Near-critical survival probability of branching Brownian motion with an absorbing barrier

R. Benguria and M. C. Depassier, Speed of pulled fronts with a cutoff, Physical Review E, vol.75, issue.5, p.75, 2007.
DOI : 10.1103/PhysRevE.75.051106

R. Benguria, M. C. Depassier, and M. Loss, Validity of the Brunet-Derrida formula for the speed of pulled fronts with a cutoff, 2007.

J. Bérard and J. Gouéré, Brunet-Derrida Behavior of Branching-Selection Particle Systems on the Line, Communications in Mathematical Physics, vol.131, issue.2
DOI : 10.1007/s00220-010-1067-y

N. Berestycki, J. Berestycki, and J. Schweinsberg, The genealogy of branching Brownian motion with absorption, The Annals of Probability, vol.41, issue.2, 2010.
DOI : 10.1214/11-AOP728
URL : https://hal.archives-ouvertes.fr/hal-00447444

N. Berestycki, J. Berestycki, and J. Schweinsberg, Survival of Near-Critical Branching Brownian Motion, Journal of Statistical Physics, vol.131, issue.1, 2010.
DOI : 10.1007/s10955-011-0224-9
URL : https://hal.archives-ouvertes.fr/hal-00514779

J. D. Biggins, The first-and last-birth problems for a multitype age-dependent branching process Advances in Appl, Probability, vol.8, issue.3, pp.446-459, 1976.

J. D. Biggins, Branching out, 2010.
DOI : 10.1017/CBO9781139107174.007

J. D. Biggins, B. D. Lubachevsky, A. Shwartz, and A. Weiss, A Branching Random Walk with a Barrier, The Annals of Applied Probability, vol.1, issue.4, pp.573-581, 1991.
DOI : 10.1214/aoap/1177005839

E. Brunet, B. Derrida, A. H. Mueller, and S. Munier, Noisy traveling waves: Effect of selection on genealogies, Europhysics Letters (EPL), vol.76, issue.1, pp.1-7, 2006.
DOI : 10.1209/epl/i2006-10224-4

E. Brunet, B. Derrida, A. H. Mueller, S. Munier, ´. E. Brunet et al., Phenomenological theory giving the full statistics of the position of fluctuating pulled fronts, Physical Review E, vol.73, issue.5, pp.56126-76041104, 2006.
DOI : 10.1103/PhysRevE.73.056126

E. Brunet and B. Derrida, Shift in the velocity of a front due to a cutoff Microscopic models of traveling wave equations, Phys. Rev. E Computer Physics Communications, vol.5614, issue.33, pp.2597-2604, 1997.

E. Brunet and B. Derrida, Effect of microscopic noise on front propagation, Journal of Statistical Physics, vol.103, issue.1/2, pp.269-282, 2001.
DOI : 10.1023/A:1004875804376

G. Joseph, C. R. Conlon, and . Doering, On travelling waves for the stochastic Fisher- Kolmogorov-Petrovsky-Piscunov equation, J. Stat. Phys, vol.120, pp.3-4421, 2005.

B. Derrida and D. Simon, The survival probability of a branching random walk in presence of an absorbing wall, Europhysics Letters (EPL), vol.78, issue.6, 2007.
DOI : 10.1209/0295-5075/78/60006

F. Dumortier, N. Popovi´cpopovi´c, and T. J. Kaper, The critical wave speed for the Fisher???Kolmogorov???Petrowskii???Piscounov equation with cut-off, Nonlinearity, vol.20, issue.4, pp.855-877, 2007.
DOI : 10.1088/0951-7715/20/4/004

R. Durrett and D. Remenik, Brunet???Derrida particle systems, free boundary problems and Wiener???Hopf equations, The Annals of Probability, vol.39, issue.6, 2009.
DOI : 10.1214/10-AOP601
URL : http://arxiv.org/abs/0907.5180

R. A. Fisher, THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES, Annals of Eugenics, vol.7, issue.4, pp.355-369, 1937.
DOI : 10.1111/j.1469-1809.1937.tb02153.x

N. Gantert, Y. Hu, and Z. Shi, Asymptotics for the survival probability in a supercritical branching random walk, 2008.

J. M. Hammersley, Postulates for Subadditive Processes, The Annals of Probability, vol.2, issue.4, pp.652-680, 1974.
DOI : 10.1214/aop/1176996611

H. Kesten, Branching brownian motion with absorption, Stochastic Processes and their Applications, vol.7, issue.1, pp.9-47, 1978.
DOI : 10.1016/0304-4149(78)90035-2

J. F. Kingman, The First Birth Problem for an Age-dependent Branching Process, The Annals of Probability, vol.3, issue.5, pp.790-801, 1975.
DOI : 10.1214/aop/1176996266

A. Kolmogorov, I. Petrovsky, and N. Piscounov, Etude de l'´ equation de la diffusion avec croissance de la quantité dematì ere et son applicationàapplicationà unprobì eme biologique, Bull. Univ. Etat Moscou Sér. Int. Sect. A Math. Mécan, vol.1, issue.6, pp.1-25, 1937.

C. Mueller, L. Mytnik, and J. Quastel, Small noise asymptotics of traveling waves. Markov Process, 2008.

C. Mueller, L. Mytnik, and J. Quastel, Effect of noise on front propagation in??reaction-diffusion equations of KPP type, Inventiones mathematicae, vol.386, issue.1, 2009.
DOI : 10.1007/s00222-010-0292-5

R. Pemantle, Search cost for a nearly optimal path in a binary tree, The Annals of Applied Probability, vol.19, issue.4, 2007.
DOI : 10.1214/08-AAP585

D. Simon and B. Derrida, Quasi-Stationary Regime of a Branching Random Walk in Presence of??an??Absorbing??Wall, Journal of Statistical Physics, vol.56, issue.2, pp.203-233, 2008.
DOI : 10.1007/s10955-008-9504-4