Deformation analysis of matrix models

Abstract

The Tracy-Widom equations associated with level spacing distributions are realized as a special case of monodromy preserving deformations.

23 pages

References in corpus (2)

• Fredholm Determinants, Differential Equations and Matrix Models
• Level-Spacing Distributions and the Bessel Kernel

Cited by in corpus (8)

• Fredholm determinant and Nekrasov sum representations of isomonodromic tau functions
• Partition functions for Matrix Models and Isomonodromic Tau functions
• Differential equations for singular values of products of Ginibre random matrices
• {\bf $\tau$-Function Evaluation of Gap Probabilities in Orthogonal and Symplectic Matrix Ensembles}
• Moment determinants as isomonodromic tau functions
• Tau-function of discrete isomonodromy transformations and probability
• Universal Structure and Universal PDE for Unitary Ensembles
• On determinant expansions for Hankel operators