The Hermitian Two Matrix Model with an Even Quartic Potential is popular PDF and ePub book, written by Maurice Duits in 2011, it is a fantastic choice for those who relish reading online the Boundary value problems genre. Let's immerse ourselves in this engaging Boundary value problems book by exploring the summary and details provided below. Remember, The Hermitian Two Matrix Model with an Even Quartic Potential can be Read Online from any device for your convenience.
The Hermitian Two Matrix Model with an Even Quartic Potential Book PDF Summary
We consider the two matrix model with an even quartic potential W(y)=y4/4+αy2/2 and an even polynomial potential V(x). The main result of the paper is the formulation of a vector equilibrium problem for the limiting mean density for the eigenvalues of one of the matrices M1. The vector equilibrium problem is defined for three measures, with external fields on the first and third measures and an upper constraint on the second measure. The proof is based on a steepest descent analysis of a 4×4 matrix valued Riemann-Hilbert problem that characterizes the correlation kernel for the eigenvalues of M1. Our results generalize earlier results for the case α=0, where the external field on the third measure was not present.
Detail Book of The Hermitian Two Matrix Model with an Even Quartic Potential PDF
- Author : Maurice Duits
- Release : 28 June 2024
- Publisher : Unknown
- ISBN : 0821887564
- Genre : Boundary value problems
- Total Page : 105 pages
- Language : English
- PDF File Size : 17,5 Mb
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