A new type of critical behaviour in random matrix models

Abstract

In view of the remarkable progress in the analysis of random matrix models during the last years we report on recent work of Eynard on the generation of a new cut in finite distance from the cuts given in the initial theory. This 'birth of a cut' leads to a third order phase transition.

5 pages, 1 figure, v2: reference added, JSTAT News & Perspectives

References in corpus (7)

• Random Matrix Theories in Quantum Physics: Common Concepts
• 2D Gravity and Random Matrices
• Breakdown of universality in multi-cut matrix models
• Universal distribution of random matrix eigenvalues near the "birth of a cut" transition
• Universal correlators for multi-arc complex matrix models
• The birth of a cut in unitary random matrix ensembles
• The Riemann-Hilbert approach to double scaling limit of random matrix eigenvalues near the "birth of a cut" transition

Cited by in corpus (3)

• Phase transitions in multi-cut matrix models and matched solutions of Whitham hierarchies
• An efficient method for computing genus expansions and counting numbers in the Hermitian matrix model
• Phase transitions and equilibrium measures in random matrix models