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2 results on '"12B52, 60B20"'

1. Large deviation theorem for zeros of polynomials and Hermitian random matrices

Author

Dinh, Tien-Cuong

Subjects
Mathematics - Complex Variables, Mathematics - Probability, 12B52, 60B20
Abstract

We give abstract versions of the large deviation theorem for the distribution of zeros of polynomials and apply them to the characteristic polynomials of Hermitian random matrices. We obtain new estimates related to the local semi-circular law for the empirical spectral distribution of these matrices when the 4th moments of their entries are controlled., Comment: 19 pages

Published
2016

2. Large deviation theorem for zeros of polynomials and Hermitian random matrices

Author

Tien-Cuong Dinh

Subjects
Discrete mathematics, Gegenbauer polynomials, Mathematics - Complex Variables, Discrete orthogonal polynomials, Probability (math.PR), 010102 general mathematics, 01 natural sciences, 12B52, 60B20, Classical orthogonal polynomials, Macdonald polynomials, Difference polynomials, 0103 physical sciences, Wilson polynomials, Orthogonal polynomials, Hahn polynomials, FOS: Mathematics, 010307 mathematical physics, Geometry and Topology, Complex Variables (math.CV), 0101 mathematics, Mathematics - Probability, Mathematics
Abstract

We give abstract versions of the large deviation theorem for the distribution of zeros of polynomials and apply them to the characteristic polynomials of Hermitian random matrices. We obtain new estimates related to the local semi-circular law for the empirical spectral distribution of these matrices when the 4th moments of their entries are controlled., 19 pages

Published
2016

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