Rescaling Ward identities in the random normal matrix model
classification
🧮 math.PR
math-phmath.APmath.CVmath.MP
keywords
matrixnormalrandomwardapproachboundaryeigenvaluesequation
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We study existence and universality of scaling limits for the eigenvalues of a random normal matrix, in particular at points on the boundary of the spectrum. Our approach uses Ward's equation, which is an identity satisfied by the 1-point function.
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