Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series. For sale by the Superintendent of Documents, U.S. Government Printing Office, vol.55, 1964. ,
Minima in branching random walks, The Annals of Probability, vol.37, issue.3, pp.1044-1079, 2009. ,
DOI : 10.1214/08-AOP428
URL : https://hal.archives-ouvertes.fr/hal-00795281
Convergence in law of the minimum of a branching random walk, The Annals of Probability, vol.41, issue.3A, pp.1362-1426, 2013. ,
DOI : 10.1214/12-AOP750
Survival of branching random walks with absorption. Stochastic Process, Appl, vol.121, issue.9, pp.1901-1937, 2011. ,
Weak convergence for the minimal position in a branching random walk: A simple proof, Periodica Mathematica Hungarica, vol.143, issue.17, pp.43-54, 2010. ,
DOI : 10.1007/s10998-010-3043-x
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. ,
Branching out, Probability and mathematical genetics, pp.113-134, 2010. ,
DOI : 10.1017/CBO9781139107174.007
Measure change in multitype branching, Advances in Applied Probability, vol.64, issue.02, pp.544-581, 2004. ,
DOI : 10.1214/aop/1024404291
Much ado about Derrida's GREM. In Spin glasses, Lecture Notes in Math, pp.81-115, 1900. ,
Analyse fonctionnelle Collection Mathématiques Appliquées pour la Maîtrise. [Collection of Applied Mathematics for the Master's Degree], Théorie et applications. [Theory and applications], 1983. ,
On the Supremum of a Certain Gaussian Process, The Annals of Probability, vol.11, issue.3, pp.803-806, 1983. ,
DOI : 10.1214/aop/1176993527
Tightness for Maxima of Generalized Branching Random Walks, Journal of Applied Probability, vol.49, issue.03, pp.652-670, 2012. ,
DOI : 10.1214/08-AOP428
Consistent Minimal Displacement of Branching Random Walks, Electronic Communications in Probability, vol.15, issue.0, pp.106-118, 2010. ,
DOI : 10.1214/ECP.v15-1533
Branching random walks in time inhomogeneous environments, Electronic Journal of Probability, vol.17, issue.0, 2012. ,
DOI : 10.1214/EJP.v17-2253
Slowdown for Time Inhomogeneous Branching Brownian Motion, Journal of Statistical Physics, vol.125, issue.1, pp.1-9, 2012. ,
DOI : 10.1007/s10955-012-0581-z
Almost sure convergence for stochastically biased random walks on trees. Probab. Theory Related Fields, pp.3-4621, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00767694
Differential equations with discontinuous righthand sides, volume 18 of Mathematics and its Applications (Soviet Series), 1988. ,
Lower deviation probabilities for supercritical Galton???Watson processes???, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.43, issue.2, pp.233-255, 2007. ,
DOI : 10.1016/j.anihpb.2006.03.001
Asymptotics for the survival probability in a killed branching random walk, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.1, pp.111-129, 2011. ,
DOI : 10.1214/10-AIHP362
URL : https://hal.archives-ouvertes.fr/hal-00579979
Postulates for Subadditive Processes, The Annals of Probability, vol.2, issue.4, pp.652-680, 1974. ,
DOI : 10.1214/aop/1176996611
The many-to-few lemma and multiple spines, 2015. ,
Ordinary differential equations Corrected reprint of the second (1982) edition, Classics in Applied Mathematics . Society for Industrial and Applied Mathematics (SIAM), vol.38, p.658490, 2002. ,
Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees, The Annals of Probability, vol.37, issue.2, pp.742-789, 2009. ,
DOI : 10.1214/08-AOP419
URL : https://hal.archives-ouvertes.fr/hal-00414685
Diffusion processes and their sample paths. Die Grundlehren der Mathematischen Wissenschaften, Band 125, 1965. ,
Diffusion processes and their sample paths, 1974. ,
Sur certaines martingales de Benoit Mandelbrot, Advances in Mathematics, vol.22, issue.2, pp.131-145, 1976. ,
DOI : 10.1016/0001-8708(76)90151-1
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991. ,
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
On the existence and nonexistence of Lagrange multipliers in Banach spaces, Journal of Optimization Theory and Applications, vol.17, issue.1, pp.81-110, 1976. ,
DOI : 10.1007/BF00933349
The brownian excursion area: a numerical analysis, Computers & Mathematics with Applications, vol.10, issue.6, pp.413-417, 1984. ,
DOI : 10.1016/0898-1221(84)90071-3
Slowdown in branching Brownian motion with inhomogeneous variance, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.52, issue.3, 2015. ,
DOI : 10.1214/15-AIHP675
Position of the rightmost individual in a branching random walk through a series of interfaces, 2015. ,
Power-Like Delay in Time Inhomogeneous Fisher-KPP Equations, Communications in Partial Differential Equations, vol.18, issue.3, pp.475-505, 2015. ,
DOI : 10.1214/12-AOP753
Turbulence et dimension de Hausdorff, C. R. Acad. Sci. Paris Sér. A, vol.278, pp.567-569, 1974. ,
Rate of convergence in the invariance principle for variables with exponential moments that are not identically distributed. In Limit theorems for sums of random variables, Trudy Inst. Mat. Nauka " Sibirsk. Otdel, vol.3, pp.4-49, 1984. ,
Random Walk Processes and their Applications in Order Statistics, The Annals of Applied Probability, vol.2, issue.2, pp.435-459, 1992. ,
DOI : 10.1214/aoap/1177005710
Airy functions and applications to physics, 2004. ,
Sturm-Liouville theory, volume 121 of Mathematical Surveys and Monographs, 2005. ,