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Random Matrix Models and Their Applications Book

Random Matrix Models and Their Applications
Random Matrix Models and Their Applications, , Random Matrix Models and Their Applications has a rating of 3 stars
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Random Matrix Models and Their Applications, , Random Matrix Models and Their Applications
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  • Random Matrix Models and Their Applications
  • Written by author Pavel M. Bleher
  • Published by Cambridge University Press, June 2001
  • Expository articles on the most recent trends in the random matrix theory emphasizing the exchange of ideas between the physical and mathematical communities.
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Book Categories

Authors

Preface
Symmetrized Random Permutations1
Hankel Determinants as Fredholm Determinants21
Universality and Scaling of Zeros on Symplectic Manifolds31
z-Measures on Partitions, Robinson-Schensted-Knuth Correspondence, and [beta] = 2 Random Matrix Ensembles71
Phase Transitions and Random Matrices95
Matrix Model Combinatorics: Applications to Folding and Coloring111
Interrelationships Between Orthogonal, Unitary and Symplectic Matrix Ensembles171
Dual Isomonodromic Tau Functions and Determinants of Integrable Fredholm Operators209
Functional Equations and Electrostatic Models for Orthogonal Polynomials225
Random Words, Toeplitz Determinants, and Integrable Systems I245
Random Permutations and the Discrete Bessel Kernel259
Solvable Matrix Models271
The [tau]-Function for Analytic Curves285
Integration over Angular Variables for Two Coupled Matrices301
Integrable Lattices: Random Matrices and Random Permutations321
SL(2) and z-Measures407
Some Matrix Integrals Related to Knots and Links421


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