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 (2)

• 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