Bibliographic Details
| Title: |
Asymptotic integral kernel for ensembles of random normal matrices with radial potentials. |
| Authors: |
Veneziani, Alexei M., Pereira, Tiago, Marchetti, Domingos H. U. |
| Superior Title: |
Journal of Mathematical Physics; Feb2012, Vol. 53 Issue 2, p023303, 21p, 2 Graphs |
| Subject Terms: |
KERNEL functions, INTEGRAL functions, RANDOM matrices, POTENTIAL theory (Mathematics), FUNCTION spaces, METHOD of steepest descent (Numerical analysis), MATHEMATICAL formulas, EIGENVALUES |
| Abstract: |
The method of steepest descent is used to study the integral kernel of a family of normal random matrix ensembles with eigenvalue distribution [formula]where Vα(z) = |z|α, z∈C and α ∈ ]0, ∞[. Asymptotic formulas with error estimate on sectors are obtained. A corollary of these expansions is a scaling limit for the n-point function in terms of the integral kernel for the classical Segal-Bargmann space. [ABSTRACT FROM AUTHOR] |
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| Database: |
Complementary Index |
