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Random matrix theory

100 Years of Math Milestones, 2019
In this chapter the Gaussian random matrix ensembles are investigated. We determine their Green’s functions and show that for small energy differences a soft mode appears. As a consequence, the non-linear sigma-model is introduced and the level correlations are determined.
Franz Wegner
semanticscholar   +3 more sources

Random Matrix Theory:

An Invitation to Modern Number Theory, 2020
Ariel Amir
semanticscholar   +4 more sources

Random matrix theory [PDF]

open access: possibleActa Numerica, 2005
Random matrix theory is now a big subject with applications in many disciplines of science, engineering and finance. This article is a survey specifically oriented towards the needs and interests of a numerical analyst. This survey includes some original material not found anywhere else.
N. Raj Rao, Alan Edelman
openaire   +1 more source

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