E. Aïdékon, J. Berestycki, É. Brunet, and Z. Shi, Branching Brownian motion seen from its tip. Probab. Theory Related Fields, pp.405-451, 2013.

[. Arguin, A. Bovier, and N. Kistler, The extremal process of branching Brownian motion. Probab. Theory Related Fields, pp.3-4535, 2013.

B. [. Addario-berry and . Reed, 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

]. E. Aïd13 and . Aïdékon, Convergence in law of the minimum of a branching random walk, Ann. Probab, vol.41, issue.3A, pp.1362-1426, 2013.

Z. [. Aidekon and . Shi, The Seneta???Heyde scaling for the branching random walk, The Annals of Probability, vol.42, issue.3, pp.959-993, 2014.
DOI : 10.1214/12-AOP809
URL : https://hal.archives-ouvertes.fr/hal-00988171

D. Buraczewski, P. Dyszewski, and K. Kolesko, Local fluctuations of critical mandelbrot cascades

J. [. Bérard and . Gouéré, Survival Probability of the Branching Random Walk Killed Below a Linear Boundary, Electronic Journal of Probability, vol.16, issue.0, pp.396-418, 2011.
DOI : 10.1214/EJP.v16-861

L. [. Bovier and . Hartung, Extended convergence of the extremal process of branching Brownian motion, 2015.

]. J. Big76 and . 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.

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

O. [. Biskup and . Louidor, Full extremal process, cluster law and freezing for twodimensional discrete Gaussian free field, 2016.

J. Barral, R. Rhodes, and V. Vargas, Limiting laws of supercritical branching random walks, Comptes Rendus Mathematique, vol.350, issue.9-10, pp.9-10535, 2012.
DOI : 10.1016/j.crma.2012.05.013
URL : https://hal.archives-ouvertes.fr/hal-00682212

]. D. Bur09 and . Buraczewski, On tails of fixed points of the smoothing transform in the boundary case, Stochastic Process. Appl, vol.119, issue.11, pp.3955-3961, 2009.

H. [. Derrida and . Spohn, Polymers on disordered trees, spin glasses, and traveling waves, New directions in statistical mechanics, pp.5-6817, 1987.
DOI : 10.1007/BF01014886

W. Feller, An introduction to probability theory and its applications, 1971.

Z. [. Hu and . 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.742-789, 2009.
DOI : 10.1214/08-AOP419
URL : https://hal.archives-ouvertes.fr/hal-00414685

O. Kallenberg, Foundations of modern probability. Probability and its Applications, 2002.

]. R. Lyo97 and . Lyons, A simple path to Biggins' martingale convergence for branching random walk, Classical and modern branching processes, pp.217-221, 1994.

]. T. Mad15 and . Madaule, Convergence in Law for the Branching Random Walk Seen from Its Tip, J. Theor. Probab, pp.1-37, 2015.

]. B. Mal16 and . Mallein, Asymptotic of the maximal displacement in the branching random walk

J. Pitman and M. Yor, The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator, The Annals of Probability, vol.25, issue.2, pp.855-900, 1997.
DOI : 10.1214/aop/1024404422

O. [. Subag and . Zeitouni, Freezing and Decorated Poisson Point Processes, Communications in Mathematical Physics, vol.145, issue.6, pp.55-92, 2015.
DOI : 10.1007/s00220-015-2303-2