Random Matrices and the Six-Vertex Model (CRM Monograph, 32, Band 32) - Hardcover

Inhaltsangabe

Outlining a connection from random matrices to the six-vertex model of statistical physics, Bleher and Liechty focus on the Riemann-Hilbert method for both continuous and discrete orthogonal polynomials, and applications of this approach to matrix models as well as to the six-vertex model. They cover unitary matrix ensembles, the Riemann-Hilbert problem for orthogonal polynomials, discrete orthogonal polynomials on an infinite lattice, introducing the six-vertex model, the Izergin-Korepin formula, the disordered phase, the anti-ferroelectric phase, the ferroelectric phase, and between the phases. Annotation ©2014 Book News, Inc., Portland, OR (booknews.com)

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