# Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy

@article{Teodorescu2004SemiclassicalEO, title={Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy}, author={Răzvan Ionuț Teodorescu and Eldad Bettelheim and Oded Agam and Anton Zabrodin and Paul B. Wiegmann}, journal={Nuclear Physics}, year={2004}, volume={700}, pages={521-532} }

## 22 Citations

### Semiclassical expansions in the Toda hierarchy and the Hermitian matrix model

- Physics, Mathematics
- 2007

An iterative algorithm for determining a type of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This type includes the solution which underlies the…

### Two-matrix model with semiclassical potentials and extended Whitham hierarchy

- Mathematics
- 2006

We consider the two-matrix model with potentials whose derivatives are arbitrary rational functions of fixed pole structure and the support of the spectra of the matrices are union of intervals (hard…

### Generic critical points of normal matrix ensembles

- Mathematics
- 2006

The evolution of the degenerate complex curve associated with the ensemble at a generic critical point is related to the finite time singularities of Laplacian growth. It is shown that the scaling…

### String equations in Whitham hierarchies: τ-functions and Virasoro constraints

- Physics
- 2005

A scheme for solving Whitham hierarchies satisfying a special class of string equations is presented. The τ-function of the corresponding solutions is obtained and the differential expressions of the…

### Laplacian growth in a channel and Hurwitz numbers

- Mathematics
- 2012

We study the integrable structure of the 2D Laplacian growth problem with zero surface tension in an infinite channel with periodic boundary conditions in the transverse direction. Similar to the…

### Laplacian growth in a channel and Hurwitz numbers

- Mathematics
- 2013

We study the integrable structure of the 2D Laplacian growth problem with zero surface tension in an infinite channel with periodic boundary conditions in a transverse direction. Similarly to the…

### Instantons in Non-Critical Strings from the Two-Matrix Model

- Physics
- 2004

We derive the non-perturbative corrections to the free energy of the two-matrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve.…

### Matrix model description of Laughlin Hall states

- Physics
- 2005

We analyse Susskind’s proposal of applying the non-commutative Chern–Simons theory to the quantum Hall effect. We study the corresponding regularized matrix Chern–Simons theory introduced by…

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