Vicious walkers and Young tableaux I: without walls
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Anthony J. Guttmann | Xavier Gérard Viennot | Aleksander L Owczarek | X. Viennot | A. Guttmann | A. Owczarek
[1] Eric M. Rains,et al. Increasing Subsequences and the Classical Groups , 1998, Electron. J. Comb..
[2] F. Y. Wu. Exactly Soluble Model of the Ferroelectric Phase Transition in Two Dimensions , 1967 .
[3] B. Sutherland. Correlation functions for two-dimensional ferroelectrics , 1968 .
[4] K. Johansson. Shape Fluctuations and Random Matrices , 1999, math/9903134.
[5] M. .. Moore. Exactly Solved Models in Statistical Mechanics , 1983 .
[6] B. Sutherland. Exact Solution of a Two-Dimensional Model for Hydrogen-Bonded Crystals , 1967 .
[7] Exact Isotherm for the F Model in Direct and Staggered Electric Fields , 1970 .
[8] E. Lieb. Exact Solution of the F Model of An Antiferroelectric , 1967 .
[9] Basil Gordon,et al. A proof of the Bender-Knuth conjecture. , 1983 .
[10] H. S. Green,et al. Order-disorder phenomena , 1964 .
[11] E. Lieb. Exact Solution of the Two-Dimensional Slater KDP Model of a Ferroelectric , 1967 .
[12] John C. Slater,et al. Theory of the Transition in KH2PO4 , 1941 .
[13] D. Arrowsmith,et al. Vicious walkers, flows and directed percolation , 1991 .
[14] K. Johansson. Discrete orthogonal polynomial ensembles and the Plancherel measure. , 1999, math/9906120.
[15] Elliott H. Lieb,et al. Residual Entropy of Square Ice , 1967 .
[16] F. Y. Wu,et al. General Lattice Model of Phase Transitions , 1970 .
[17] Ira M. Gessel,et al. Determinants, Paths, and Plane Partitions , 1989 .
[18] Interacting domain walls and the five-vertex model. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[19] Essam,et al. Vicious walkers and directed polymer networks in general dimensions. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[20] F. Y. Wu,et al. Ising Model with Second-Neighbor Interaction. I. Some Exact Results and an Approximate Solution , 1969 .
[21] Elliott H. Lieb,et al. Two-Dimensional Ising Model as a Soluble Problem of Many Fermions , 1964 .
[22] J. Essam,et al. New Results for Directed Vesicles and Chains near an Attractive Wall , 1998 .
[23] T. Liggett. Interacting Particle Systems , 1985 .
[24] E. Lieb. Exact Solution of the Problem of the Entropy of Two-Dimensional Ice , 1967 .
[25] R. Baxter,et al. Surface free energy of the critical six-vertex model with free boundaries , 1989 .
[26] Christian Krattenthaler,et al. Generating functions for plane partitions of a given shape , 1990 .
[27] I. Gessel,et al. Binomial Determinants, Paths, and Hook Length Formulae , 1985 .
[28] P. Forrester. Exact results for vicious walker models of domain walls , 1991 .
[29] R. Stanley. Theory and Application of Plane Partitions. Part 2 , 1971 .
[30] B. Lindström. On the Vector Representations of Induced Matroids , 1973 .
[31] H. S. Green,et al. New Solution of the Ising Problem for a Rectangular Lattice , 1960 .
[32] G. Olshanski,et al. Asymptotics of Plancherel measures for symmetric groups , 1999, math/9905032.
[33] P. Forrester. The spectrum edge of random matrix ensembles , 1993 .
[34] P. W. Kasteleyn. The statistics of dimers on a lattice: I. The number of dimer arrangements on a quadratic lattice , 1961 .
[35] A. Talapov,et al. Ground State, Spectrum, and Phase Diagram of Two-Dimensional Incommensurate Crystals , 1979 .
[36] P. Forrester. Exact solution of the lock step model of vicious walkers , 1990 .
[37] Peter J. Forrester. Probability of survival for vicious walkers near a cliff , 1989 .
[38] K. Johansson. THE LONGEST INCREASING SUBSEQUENCE IN A RANDOM PERMUTATION AND A UNITARY RANDOM MATRIX MODEL , 1998 .
[39] Joós,et al. Distribution of terrace widths on a vicinal surface within the one-dimensional free-fermion model. , 1991, Physical review. B, Condensed matter.
[40] P. W. Kasteleyn. Dimer Statistics and Phase Transitions , 1963 .
[41] M. Fisher. On the Dimer Solution of Planar Ising Models , 1966 .
[42] J. Essam,et al. Exact solution of N directed non-intersecting walks interacting with one or two boundaries , 1999 .
[43] Percy Alexander MacMahon,et al. Memoir on the theory of the partitions of numbers , 1912 .
[44] F. Y. Wu. Remarks on the Modified Potassium Dihydrogen Phosphate Model of a Ferroelectric , 1968 .
[45] R. Brak. Osculating Lattice Paths and Alternating Sign Matrices , 1997 .
[46] J. Baik,et al. On the distribution of the length of the longest increasing subsequence of random permutations , 1998, math/9810105.
[47] David P. Landau,et al. Phase transitions and critical phenomena , 1989, Computing in Science & Engineering.
[48] Michael E. Fisher,et al. Walks, walls, wetting, and melting , 1984 .
[49] M. Fisher. Statistical Mechanics of Dimers on a Plane Lattice , 1961 .
[50] John R. Stembridge,et al. Nonintersecting Paths, Pfaffians, and Plane Partitions , 1990 .