A. Borodin, P. L. Ferrari, M. Praehofer, T. Sasamoto, and J. Warren, Maximum of Dyson Brownian motion and non-colliding systems with a boundary, Electronic Communications in Probability, vol.14, issue.0
DOI : 10.1214/ECP.v14-1503

A. B. Dieker and J. Warren, Determinantal transition kernels for some interacting particles on the line, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.44, issue.6, pp.1162-1172, 2008.
DOI : 10.1214/07-AIHP176

M. Defosseux, Orbit measures and interlaced determinantal point processes, Comptes Rendus Mathematique, vol.346, issue.13-14, pp.209-249, 2010.
DOI : 10.1016/j.crma.2008.05.016
URL : https://hal.archives-ouvertes.fr/hal-00315365

K. Johansson, Shape Fluctuations and Random Matrices, Communications in Mathematical Physics, vol.209, issue.2, pp.437-476, 2000.
DOI : 10.1007/s002200050027

K. Johansson, Random matrices and determinantal processes Available at arXiv:math-ph, 2005.

M. Kashiwara, On crystal bases, Representations of groups (Banff, AB, pp.155-197, 1994.

L. C. Rogers and J. W. Pitman, Markov Functions, Markov functions, pp.573-582, 1981.
DOI : 10.1214/aop/1176994363

J. Warren, Dyson's Brownian motions, intertwining and interlacing, Electronic Journal of Probability, vol.12, issue.0, pp.573-590, 2007.
DOI : 10.1214/EJP.v12-406
URL : http://arxiv.org/abs/math/0509720

S. Sundaram, Orthogonal tableaux and an insertion scheme for SO, J. Combin. Theory, ser. A, vol.2, issue.53, pp.239-256, 1990.
DOI : 10.1016/0097-3165(90)90059-6
URL : http://doi.org/10.1016/0097-3165(90)90059-6

J. Warren and P. Windridge, Some examples of dynamics for Gelfand-Tsetlin patterns, Electronic Journal of Probability, vol.14, issue.0, pp.1745-1769, 2009.
DOI : 10.1214/EJP.v14-682

L. De and M. Appliquéesappliquées, Appliquéesà Paris 5, Université Paris 5, 45 rue des Saints P` eres, 75270 Paris Cedex 06