A new type of critical behaviour in random matrix models

DOI10.1088/1742-5468/2008/10/N10001zbMath1456.82500arXiv0901.2424OpenAlexW3098105576MaRDI QIDQ5239430

Alexander Klitz, R. Flume

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.2424

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Critical phenomena in equilibrium statistical mechanics (82B27)

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Cites Work

• Recursion between Mumford volumes of moduli spaces
• First colonization of a spectral outpost in random matrix theory
• Invariants of algebraic curves and topological expansion
• Birth of a Cut in Unitary Random Matrix Ensembles
• Breakdown of universality in multi-cut matrix models
• Universal distribution of random matrix eigenvalues near the ‘birth of a cut’ transition

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