B Eynard J. Stat. Mech. (2006) P07005 doi:10.1088/1742-5468/2006/07/P07005
B Eynard
Show affiliationsWe 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) ~ xp/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 sawtooth behaviour.
E-print Number: math-ph/0605064
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Issue 07 (July 2006)
Received 1 June 2006, accepted for publication 27 June 2006
Published 17 July 2006
B Eynard J. Stat. Mech. (2006) P07005
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