S. Asmussen and N. Kaplan, Branching random walks. I, Stochastic Process, Appl, vol.4, issue.1, pp.1-13, 1976.

K. B. Athreya and S. Karlin, On Branching Processes with Random Environments: I: Extinction Probabilities, The Annals of Mathematical Statistics, vol.42, issue.5, pp.1499-1520, 1971.
DOI : 10.1214/aoms/1177693150

K. B. Athreya and S. Karlin, Branching Processes with Random Environments, II: Limit Theorems, The Annals of Mathematical Statistics, vol.42, issue.6, pp.1843-1858, 1971.
DOI : 10.1214/aoms/1177693051

N. Attia and J. Barral, Hausdorff and Packing Spectra, Large Deviations, and Free Energy for Branching Random Walks in $${\mathbb{R}^d}$$ R d, Communications in Mathematical Physics, vol.123, issue.1, pp.331-139, 2014.
DOI : 10.1007/s00220-014-2087-9

Z. D. Bai and L. C. Zhao, Edgeworth expansions of distribution functions of independent random variables, Sci. Sinica Ser. A, vol.29, issue.1, pp.1-22, 1986.

J. Baillon, . Ph, A. Clément, F. Greven, and . Hollander, A Variational Approach to Branching Random Walk in Random Environment, The Annals of Probability, vol.21, issue.1, pp.290-317, 1993.
DOI : 10.1214/aop/1176989405

J. D. Biggins, The central limit theorem for the supercritical branching random walk, and related results, Stochastic Process, Appl, vol.34, issue.2, pp.255-274, 1990.

J. D. Biggins and A. E. Kyprianou, Measure change in multitype branching, Advances in Applied Probability, vol.64, issue.02, pp.544-581, 2004.
DOI : 10.1214/aop/1024404291

M. Birkner, J. Geiger, and G. Kersting, Branching processes in random environment?a view on critical and subcritical cases, Interacting stochastic systems, pp.269-291, 2005.

A. Bovier and L. Hartung, Variable speed branching Brownian motion 1. Extremal processes in the weak correlation regime

X. Chen, Exact Convergence Rates For The Distribution of Particles in Branching Random Walks, The Annals of Applied Probability, vol.11, issue.4, pp.1242-1262, 2001.
DOI : 10.1214/aoap/1015345402

F. Comets and S. Popov, On multidimensional branching random walks in random environment, The Annals of Probability, vol.35, issue.1, pp.68-114, 2007.
DOI : 10.1214/009117906000000926

URL : https://hal.archives-ouvertes.fr/hal-00005865

F. Comets and S. Popov, Shape and local growth for multidimensional branching random walks in random environment, ALEA Lat, Am. J. Probab. Math. Stat, vol.3, pp.273-299, 2007.

F. Comets and N. Yoshida, Branching Random Walks in Space???Time Random Environment: Survival Probability, Global and Local Growth Rates, Journal of Theoretical Probability, vol.133, issue.2, pp.657-687, 2011.
DOI : 10.1007/s10959-009-0267-x

URL : https://hal.archives-ouvertes.fr/hal-00402147

R. Durrett, Probability: theory and examples, 1996.
DOI : 10.1017/CBO9780511779398

M. Fang and O. Zeitouni, Branching random walks in time inhomogeneous environments, Electron, J. Probab, vol.17, issue.18, 2012.

Z. Q. Gao, Q. Liu, and H. S. Wang, Central limit theorems for a branching random walk with a random environment in time, Acta Mathematica Scientia, vol.34, issue.2, pp.501-512, 2014.
DOI : 10.1016/S0252-9602(14)60023-0

URL : https://hal.archives-ouvertes.fr/hal-00907152

A. Greven and F. Hollander, Branching random walk in random environment: phase transitions for local and global growth rates, Probability Theory and Related Fields, vol.19, issue.2, pp.195-249, 1992.
DOI : 10.1007/BF01291424

R. Grübel and Z. Kabluchko, Asymptotic expansions for profiles of lattice branching random walks, preprint

T. E. Harris, The theory of branching processes, Die Grundlehren der Mathematischen Wissenschaften , Bd, 1963.

Y. Hu, How big is the minimum of a branching random walk? Ann, 2014.

Y. Hu and Z. Shi, 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.403-813, 2009.
DOI : 10.1214/08-AOP419

URL : https://hal.archives-ouvertes.fr/hal-00414685

Y. Hu and N. Yoshida, Localization for branching random walks in random environment, Stochastic Process, Appl, vol.119, issue.5, pp.1632-1651, 2009.

C. M. Huang and Q. Liu, Convergence rates for a branching process in a random environment, Markov Process. and Related Fields, vol.20, issue.2, pp.265-286, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00912960

N. Kaplan and S. Asmussen, Branching random walks. II, Stochastic Process, Appl, vol.4, issue.1, pp.15-31, 1976.

C. F. Klebaner, Branching random walk in varying environments, Advances in Applied Probability, vol.8, issue.02, pp.359-367, 1982.
DOI : 10.1090/S0002-9904-1973-13387-7

D. Kuhlbusch, On weighted branching processes in random environment, Stochastic Processes and their Applications, vol.109, issue.1, pp.113-144, 2004.
DOI : 10.1016/j.spa.2003.09.004

X. G. Liang and Q. Liu, Weighted moments of the limit of a branching process in a random environment, Proceedings of the Steklov Institute of Mathematics, vol.282, issue.1, pp.127-145, 2013.
DOI : 10.1134/S0081543813060126

URL : https://hal.archives-ouvertes.fr/hal-00908524

Q. Liu, Fixed points of a generalized smoothing transformation and applications to the branching random walk, Advances in Applied Probability, vol.84, issue.01, pp.85-112, 1998.
DOI : 10.1090/S0002-9947-1986-0831202-5

Q. Liu, On generalized multiplicative cascades, Stochastic Processes and their Applications, vol.86, issue.2, pp.263-286, 2000.
DOI : 10.1016/S0304-4149(99)00097-6

Q. Liu, Branching random walks in random environment, Proceedings of the 4th International Congress of Chinese Mathematicians, pp.702-219, 2007.

M. Nakashima, Almost sure central limit theorem for branching random walks in random environment, The Annals of Applied Probability, vol.21, issue.1, pp.351-373, 2011.
DOI : 10.1214/10-AAP699

V. V. Petrov, Sums of independent random variables, translated from the Russian by, 1975.

P. Révész, Random walks of infinitely many particles, 1994.

P. Révész, J. Rosen, and Z. Shi, Large-time asymptotics for the density of a branching Wiener process, Journal of Applied Probability, vol.41, issue.04, pp.1081-1094, 2005.
DOI : 10.1214/aop/1176989921

Z. Shi, Branching random walks. Saint-Flour's summer course, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01275563

W. L. Smith and W. E. Wilkinson, On Branching Processes in Random Environments, The Annals of Mathematical Statistics, vol.40, issue.3, pp.814-827, 1969.
DOI : 10.1214/aoms/1177697589

D. Tanny, A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means, Stochastic Process, Appl, vol.28, issue.1, pp.123-139, 1988.

N. Yoshida, Central limit theorem for branching random walks in random environment, The Annals of Applied Probability, vol.18, issue.4, pp.1619-1635, 2008.
DOI : 10.1214/07-AAP500

Z. Kabluchko, Distribution of levels in high-dimensional random landscapes, The Annals of Applied Probability, vol.22, issue.1, pp.337-362, 2012.
DOI : 10.1214/11-AAP772

O. Zeitouni, Branching random walks and Gaussian fields, Notes for Lectures, 2012.