Course 1 - Random Matrices and Determinantal Processes
暂无分享,去创建一个
[1] H. Rost,et al. Non-equilibrium behaviour of a many particle process: Density profile and local equilibria , 1981 .
[2] O. Bohigas,et al. Characterization of chaotic quantum spectra and universality of level fluctuation laws , 1984 .
[3] R. Stanley. What Is Enumerative Combinatorics , 1986 .
[4] John R. Stembridge,et al. Nonintersecting Paths, Pfaffians, and Plane Partitions , 1990 .
[5] Greg Kuperberg,et al. Alternating-Sign Matrices and Domino Tilings (Part I) , 1992 .
[6] Greg Kuperberg,et al. Alternating-Sign Matrices and Domino Tilings (Part II) , 1992 .
[7] C. Tracy,et al. Level-spacing distributions and the Airy kernel , 1992, hep-th/9211141.
[8] J. Propp,et al. Local statistics for random domino tilings of the Aztec diamond , 1996, math/0008243.
[9] C. Tracy,et al. Mathematical Physics © Springer-Verlag 1996 On Orthogonal and Symplectic Matrix Ensembles , 1995 .
[10] Israel Gohberg,et al. Traces and determinants of linear operators , 1996 .
[11] R. Kenyon. Local statistics of lattice dimers , 2001, math/0105054.
[12] T. Guhr,et al. RANDOM-MATRIX THEORIES IN QUANTUM PHYSICS : COMMON CONCEPTS , 1997, cond-mat/9707301.
[13] Daryl J. Daley,et al. An Introduction to the Theory of Point Processes , 2013 .
[14] K. Johansson. THE LONGEST INCREASING SUBSEQUENCE IN A RANDOM PERMUTATION AND A UNITARY RANDOM MATRIX MODEL , 1998 .
[15] J. Baik,et al. On the distribution of the length of the longest increasing subsequence of random permutations , 1998, math/9810105.
[16] M. L. Mehta,et al. Matrices coupled in a chain: I. Eigenvalue correlations , 1998 .
[17] J. Propp,et al. Random Domino Tilings and the Arctic Circle Theorem , 1998, math/9801068.
[18] G. Olshanski,et al. Asymptotics of Plancherel measures for symmetric groups , 1999, math/9905032.
[19] Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges , 1998, cond-mat/9811142.
[20] Eric M. Rains,et al. Symmetrized Random Permutations , 1999 .
[21] K. Johansson. Shape Fluctuations and Random Matrices , 1999, math/9903134.
[22] K. Johansson. Discrete orthogonal polynomial ensembles and the Plancherel measure. , 1999, math/9906120.
[23] A. Okounkov. Infinite wedge and random partitions , 1999, math/9907127.
[24] P. Sarnak,et al. Zeroes of zeta functions and symmetry , 1999 .
[25] A. Soshnikov. Determinantal random point fields , 2000, math/0002099.
[26] K. Johansson. Non-intersecting paths, random tilings and random matrices , 2000, math/0011250.
[27] J. Propp,et al. A variational principle for domino tilings , 2000, math/0008220.
[28] H. Spohn,et al. Scale Invariance of the PNG Droplet and the Airy Process , 2001, math/0105240.
[29] A. Okounkov,et al. Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram , 2001, math/0107056.
[30] B. Sagan. The Symmetric Group , 2001 .
[31] Step Fluctuations for a Faceted Crystal , 2002, cond-mat/0212456.
[32] Neil O'Connell,et al. A path-transformation for random walks and the Robinson-Schensted correspondence , 2002, math/0203177.
[33] P. D. Miller,et al. Uniform Asymptotics for Polynomials Orthogonal With Respect to a General Class of Discrete Weights and Universality Results for Associated Ensembles , 2002 .
[34] Kurt Johansson. Discrete Polynuclear Growth and Determinantal Processes , 2003 .
[35] Stochastic dynamics related to Plancherel measure on partitions , 2004, math-ph/0402064.
[36] The Arctic circle boundary and the airy process , 2005 .