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Register a new userElements of proof for conjectures of Witte and Forrester about the combinatorial structure of Gaussian Beta Ensembles
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Olivier Marchal
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The purpose of the article is to provide partial proofs for two conjectures given by Witte and Forrester in Moments of the Gaussian $beta$ Ensembles and the large $N$ expansion of the densities with the use of the topological recursion adapted for general $beta$ Gaussian case. In particular, the paper uses a version at coinciding points that provides a simple proof for some of the coefficients involved in the conjecture. Additionally, we propose a generalized version of the conjectures for all correlation functions evaluated at coinciding points.
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