Asymptotic integral kernel for ensembles of random normal matrices with radial potentials

DOI10.1063/1.3688293zbMath1274.41062arXiv1106.4858OpenAlexW1966114004MaRDI QIDQ2861709

Domingos H. U. Marchetti, Alexei M. Veneziani, Tiago Pereira

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1106.4858

zbMATH Keywords

Segal-Bargmann space

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Random matrices (algebraic aspects) (15B52) Kernel operators (47B34)

Related Items (2)

The Mother Body Phase Transition in the Normal Matrix Model ⋮ On the extreme value statistics of normal random matrices and 2D Coulomb gases: Universality and finiteNcorrections

Cites Work

• Fluctuations of eigenvalues of random normal matrices
• On the structure of correlation functions in the normal matrix model
• An electrostatics model for zeros of general orthogonal polynomials
• Universality limits for exponential weights
• Density of eigenvalues of random normal matrices
• LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT
• Determinantal random point fields
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