Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy
DOI10.1016/j.nuclphysb.2004.08.013zbMath1123.81370arXivhep-th/0407017OpenAlexW2039000883MaRDI QIDQ874315
Razvan Teodorescu, Oded Agam, Paul B. Wiegmann, Anton V. Zabrodin, Eldad Bettelheim
Publication date: 5 April 2007
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0407017
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relationships between algebraic curves and integrable systems (14H70) Random matrices (algebraic aspects) (15B52)
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Cites Work
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- Normal random matrix ensemble as a growth problem
- The isomonodromy approach to matrix models in 2D quantum gravity
- Integration of nonlinear equations by the methods of algebraic geometry
- Method of averaging for two-dimensional integrable equations
- On the structure of correlation functions in the normal matrix model
- Differential systems for biorthogonal polynomials appearing in 2-Matrix models and the associated Riemann-Hilbert problem
- Laplacian growth and Whitham equations of soliton theory
- On geometry and matrix models
- Integrable structure of the Dirichlet boundary problem in two dimensions
- Matrix models vs. Seiberg-Witten/Whitham theories
- Conformal matrix models as an alternative to conventional multi-matrix models
- Duality of spectral curves arising in two-matrix models
- Integrable structure of the Dirichlet boundary problem in multiply-connected domains
- Riemann Hilbert problem for bi-orthogonal polynomials
- Partition functions for matrix models and isomonodromic tau functions
- Complex curve of the two-matrix model and its tau-function
- Large scale correlations in normal non-Hermitian matrix ensembles