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The problem of harmonic analysis on the infinite-dimensional unitary group, Journal of Functional Analysis, vol.205, issue.2, pp.464-524, 2003. ,
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GUEs and queues, Probab. Theory Relat, pp.256-274, 2001. ,
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Tensor product multiplicities and convex polytopes in partition space, Journal of Geometry and Physics, vol.5, issue.3, pp.453-472, 1989. ,
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Sur les principes de la th??orie cin??tique des gaz, Annales scientifiques de l'??cole normale sup??rieure, vol.23, pp.9-32, 1906. ,
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Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes, Annals of Mathematics, vol.161, issue.3, pp.1319-1422, 2005. ,
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Fluctuation Properties of the TASEP with??Periodic??Initial??Configuration, Journal of Statistical Physics, vol.177, issue.5-6, pp.1055-1080, 2007. ,
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Intersection numbers from the antisymmetric Gaussian matrix model, Journal of High Energy Physics, vol.2008, issue.07 ,
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Wishart processes, Journal of Theoretical Probability, vol.20, issue.4, pp.725-751, 1991. ,
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Network Models in Class C on Arbitrary Graphs, Communications in Mathematical Physics, vol.37, issue.1, pp.11-87, 2005. ,
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Random matrix theory and symmetric spaces, Physics Reports, vol.394, issue.2-3, pp.41-156, 2004. ,
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The shape of a typical boxed plane partition, New York J. Math, vol.4, p.137165, 1998. ,
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Products of random matrices as they arise in the study of random walks on groups, Contemp. Math, vol.50, pp.183-195, 1986. ,
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The Subgroup Algorithm for Generating Uniform Random Variables, Probability in the Engineering and Informational Sciences, vol.1, issue.01, pp.15-32, 1987. ,
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Sums of adjoint orbits, Linear and Multilinear Algebra, pp.79-101, 1993. ,
Harmonic analysis and the global exponential map for compact Lie groups, Functional Analysis and Its Applications, vol.29, issue.3, pp.25-32, 1993. ,
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The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics, Journal of Mathematical Physics, vol.3, issue.6, pp.1199-1215, 1962. ,
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Large deviations for random matrix ensembles in mesoscopic physics ,
Infinite dimensional spherical analysis. COE Lecture Note DMHF, 2008. ,
Log?gases and Random matrices ,
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The anti?symmetric GUE minor process, arXiv:math? pr/0804 ,
Lattice Path Proofs for Determinantal Formulas for Symplectic and Orthogonal Characters, Journal of Combinatorial Theory, Series A, vol.77, issue.1, pp.3-50, 1997. ,
DOI : 10.1006/jcta.1996.2711
Finite dimensional representations of the group of unimodular matrices, Dokl. Akad. Nauk. USSR, vol.71, pp.275-290, 1981. ,
Asymptotic behaviour of watermelons, 2003. ,
Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction), The Annals of Mathematical Statistics, vol.34, issue.1, pp.152-177, 1963. ,
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Projections of orbits and asymptotic behavior of multiplicities for compact connected Lie groups, Inventiones Mathematicae, vol.6, issue.No 8, pp.333-356, 1982. ,
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Symmetry Classes of Disordered Fermions, Communications in Mathematical Physics, vol.37, issue.3, pp.725-771, 2005. ,
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Groups and Geometric Analysis, 1984. ,
DOI : 10.1090/surv/083
Random matrices and determinantal processes, arXiv:math?ph, 5100381. ,
Eigenvalues of GUE Minors, Electronic Journal of Probability, vol.11, issue.0, pp.1342-1371, 2006. ,
DOI : 10.1214/EJP.v11-370
On crystal bases, Representations of Groups, CMS Conference proceedings, Amer. Math. Soc, vol.16, pp.155-197, 1995. ,
Crystal Graphs for Representations of the q-Analogue of Classical Lie Algebras, Journal of Algebra, vol.165, issue.2, pp.295-345, 1994. ,
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Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov???de Gennes random matrices, Physical Review E, vol.68, issue.2, pp.21112-21113, 2003. ,
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Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems, Journal of Mathematical Physics, vol.45, issue.8, pp.3058-3085, 2004. ,
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Nonintersecting paths, noncolliding diffusion processes and representation theory, RIMS Kokyuroku, pp.1438-83, 2005. ,
Merits and demerits of the orbit method, Bulletin of the American Mathematical Society, vol.36, issue.04, pp.433-488, 1999. ,
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Lectures on the orbit method, Graduate Studies in Mathematics, vol.64, 2004. ,
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Random walks on symmetric spaces and inequalities for matrix spectra, Linear Algebra and its Applications, vol.319, issue.1-3, pp.37-59, 2000. ,
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Lie groups, beyond an introduction, 2002. ,
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Vicious walkers, friendly walkers and Young tableaux: II. With a wall, Journal of Physics A: Mathematical and General, vol.33, issue.48, pp.33-48, 2000. ,
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Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras, Communications in Mathematical Physics, vol.88, issue.2, pp.215-243, 1993. ,
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The birth of random matrix, Moscow Mathematical Journal, vol.6, pp.553-566, 2006. ,
Unitary representations of (G,K)-pairs that are connected with the infinite symmetric group S(?), Leningrad Math, J, vol.1, pp.983-1014, 1990. ,
Unitary representation of infinite dimensional pairs (G,K) and the formalism of R.Howe. Representation of Lie groups and related topics, Advanced Studies in Contemporary Mathematics, 1990. ,
The problem of harmonic analysis on the infinite-dimensional unitary group, Journal of Functional Analysis, vol.205, issue.2, pp.464-524, 2003. ,
DOI : 10.1016/S0022-1236(02)00022-8
Ergodic unitary invariant measures on the space of infinite Hermitian matrices, Amer. Math. soc. Translations, vol.2, pp.175-137, 1996. ,
The cut-off phenomenon for random reflections, The Annals of Probability, vol.24, issue.1, pp.74-96, 1996. ,
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The out-off phenomenon for random reflections II: Complex and quaternionic cases, Probability Theory and Related Fields, vol.217, issue.2, pp.181-209, 1996. ,
DOI : 10.1007/BF01247837
Random Rotations: Characters and Random Walks on SO(N), The Annals of Probability, vol.22, issue.1, pp.398-423, 1994. ,
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Bessel convolutions on matrix cones, Compositio Mathematica, vol.143, issue.03, pp.749-779, 2007. ,
DOI : 10.1112/S0010437X06002594
Spectrum of the QCD Dirac operator and chiral random matrix theory, Physical Review Letters, vol.72, issue.16, pp.72-2531, 1994. ,
DOI : 10.1103/PhysRevLett.72.2531
Spiked models in Wishart Ensemble ,
On the statistical distribution of the widths and spacings of nuclear resonance levels, Proc. Cambridge Philos. Soc, pp.47-790, 1951. ,
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THE GENERALISED PRODUCT MOMENT DISTRIBUTION IN SAMPLES FROM A NORMAL MULTIVARIATE POPULATION, Biometrika, vol.20, issue.1-2, pp.20-32, 1928. ,
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