A Common Integrable Structure in the Hermitian Matrix Model and Hele-Shaw Flows

DOI10.2991/jnmp.2008.15.s3.27zbMath1362.37122arXiv0710.2798OpenAlexW1988620104MaRDI QIDQ5347005

Elena Medina, Luis Martínez-Alonso

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2798

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Random matrices (algebraic aspects) (15B52) Other free boundary flows; Hele-Shaw flows (76D27)

Cites Work

• Semiclassical evolution of the spectral curve in the normal random matrix ensemble as Whitham hierarchy
• Quantum field theory techniques in graphical enumeration
• Vertex operator solutions to the discrete KP-hierarchy
• 2D string theory as normal matrix model
• Laplacian growth and Whitham equations of soliton theory
• Planar diagrams
• String equations in Whitham hierarchies: τ-functions and Virasoro constraints
• The planar approximation. II
• INTEGRABLE HIERARCHIES AND DISPERSIONLESS LIMIT
• Conformal maps and integrable hierarchies

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