M. Albenque and C. Goldschmidt, The Brownian continuum random tree as the unique solution to a fixed point equation, Electronic Communications in Probability, vol.20, issue.0, p.14, 2015.
DOI : 10.1214/ECP.v20-4250

D. Aldous, The Continuum Random Tree III, The Annals of Probability, vol.21, issue.1, pp.248-289, 1993.
DOI : 10.1214/aop/1176989404

URL : http://doi.org/10.1214/aop/1176989404

D. Aldous, Recursive Self-Similarity for Random Trees, Random Triangulations and Brownian Excursion, The Annals of Probability, vol.22, issue.2, pp.527-545, 1994.
DOI : 10.1214/aop/1176988720

URL : http://doi.org/10.1214/aop/1176988720

D. Avis and M. Newborn, On pop-stacks in series, Utilitas Math, vol.19, pp.129-140, 1981.

F. Bassino, M. Bouvel, V. Féray, L. Gerin, M. Maazoun, et al., Universal limits of substitution-closed permutation classes
URL : https://hal.archives-ouvertes.fr/hal-01653572/

F. Bassino, M. Bouvel, V. Féray, L. Gerin, and A. Pierrot, The Brownian limit of separable permutations, Ann. Probab
URL : https://hal.archives-ouvertes.fr/hal-01275310

J. Bertoin and J. Pitman, Path transformations connecting Brownian bridge, excursion and meander, Bull. Sci. Math, vol.118, issue.2, pp.147-166, 1994.

M. Bona, Combinatorics of Permutations, 2004.

N. Andrei, P. Borodin, and . Salminen, Handbook of Brownian motion?facts and formulae. Probability and its Applications, 2002.

P. Bose, J. F. Buss, and A. Lubiw, Pattern matching for permutations, Algorithms and Data Structures: Third Workshop, WADS '93, pp.11-13, 1993.
DOI : 10.1016/s0020-0190(97)00209-3

T. Dokos and I. Pak, The expected shape of random doubly alternating Baxter permutations, Online J. Anal. Comb, issue.9, pp.1-12, 2014.
URL : http://web.math.rochester.edu/misc/ojac/vol9/94.pdf

T. Duquesne, The coding of compact real trees by real valued functions, 2006.

C. Hoppen, Y. Kohayakawa, C. G. Moreira, B. Ráth, and R. Sampaio, Limits of permutation sequences, Journal of Combinatorial Theory, Series B, vol.103, issue.1, pp.93-113, 2013.
DOI : 10.1016/j.jctb.2012.09.003

URL : https://doi.org/10.1016/j.jctb.2012.09.003

J. F. Kingman, Poisson processes, volume 3 of Oxford Studies in Probability, 1993.

L. Gall and J. , Random trees and applications, Probability Surveys, vol.2, issue.0, pp.245-311, 2005.
DOI : 10.1214/154957805100000140

E. Ouchterlony, Pattern avoiding doubly alternating permutations, Proceedings of FPSAC 2005, 2005.

M. Perman and J. A. Wellner, An excursion approach to maxima of the Brownian bridge, Stochastic Processes and their Applications, pp.3106-3120, 2014.
DOI : 10.1016/j.spa.2014.04.008

L. Shapiro and A. B. Stephens, -Kings Problem, SIAM Journal on Discrete Mathematics, vol.4, issue.2, pp.275-280, 1991.
DOI : 10.1137/0404025