Universal distribution of random matrix eigenvalues near the "birth of a cut" transition

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dc.creatorEynard, Bertrand
dc.date2006-05-23
dc.date.accessioned2026-07-07T07:13:46Z
dc.date.available2026-07-07T07:13:46Z
dc.descriptionWe study the eigenvalue distribution of a random matrix, at a transition where a new connected component of the eigenvalue density support appears away from other connected components. Unlike previously studied critical points, which correspond to rational singularities ρ(x)\sim x^{p/q} classified by conformal minimal models and integrable hierarchies, this transition shows logarithmic and non-analytical behaviours. There is no critical exponent, instead, the power of N changes in a saw teeth behaviour.
dc.descriptionLatex, 34 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0605064
dc.identifierhttp://arxiv.org/abs/math-ph/0605064
dc.identifierJournal of Statistical Mechanics: Theory and Experiment P07005 (2006) P07005
dc.identifierdoi:10.1088/1742-5468/2006/07/P07005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112595
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectExactly Solvable and Integrable Systems
dc.titleUniversal distribution of random matrix eigenvalues near the "birth of a cut" transition
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