Title of article :
Universality limits for random matrices and
de Branges spaces of entire functions
Author/Authors :
D.S. Lubinsky، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
We prove that de Branges spaces of entire functions describe universality limits in the bulk for random
matrices, in the unitary case. In particular, under mild conditions on a measure with compact support, we
show that each possible universality limit is the reproducing kernel of a de Branges space of entire functions
that equals a classical Paley–Wiener space.We also show that any such reproducing kernel, suitably dilated,
may arise as a universality limit for sequences of measures on [−1, 1].
© 2009 Elsevier Inc. All rights reserved
Keywords :
Random matrices , Universality limits , de Branges spaces , orthogonal polynomials
Journal title :
Journal of Functional Analysis
Journal title :
Journal of Functional Analysis