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Matrix models of 2d gravity
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These are introductory lectures for a general audience that give an overview of the subject of matrix models and their application to random surfaces, 2d gravity, and string theory. They are intentionally 1.5 years out of date. 0. Canned Diatribe, Introduction, and Apologies 1. Discretized surfaces, matrix models, and the continuum limit 2. All genus partition functions 3. KdV equations and other models 4. Quick tour of Liouville theory
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Cited by 3 Pith papers
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Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models
Recursion coefficients for high-degree asymmetric polynomial random matrix models are computed efficiently via a moment recursion, with large-n asymptotics reproducing Freud's conjecture and transition regions mapped ...
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Dynamical Triangulations for 2D Pure Gravity and Topological Recursion
Schwinger-Dyson equations for 2D Euclidean pure gravity are reformulated as Chekhov-Eynard-Orantin topological recursion for basic-type, strip-type, and continuum dynamical triangulation models.
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All the D-Branes of Resurgence
Negative-tension ZZ-branes are required by resurgence to build complete transseries for minimal-string free energies, with analytic Stokes data and extensions to JT gravity and other string models.
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