The Mother Body Phase Transition in the Normal Matrix Model

DOI10.1090/memo/1289zbMath1469.60004arXiv1601.05124OpenAlexW3014537616MaRDI QIDQ5113965

Guilherme L. F. Silva, Pavel M. Bleher

Publication date: 21 June 2020

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.05124

zbMATH Keywords

random matrix theoryRiemann-Hilbert problemsmultiple orthogonal polynomialsSchwarz functionnormal matrix modeltrajectories of quadratic differentialsmother body problem

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Moment problems (44A60) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Geometric function theory (30C99) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Differentials on Riemann surfaces (30F30) Research exposition (monographs, survey articles) pertaining to probability theory (60-02) Research exposition (monographs, survey articles) pertaining to real functions (26-02) Miscellaneous topics of analysis in the complex plane (30Exx)

Related Items

Supercritical regime for the kissing polynomials, A vector equilibrium problem for symmetrically located point charges on a sphere, The random normal matrix model: insertion of a point charge, Spectral curves, variational problems and the Hermitian matrix model with external source, Painlevé IV critical asymptotics for orthogonal polynomials in the complex plane, An effective matrix model for dynamical end of the world branes in Jackiw-Teitelboim gravity

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