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A Note on Optimal Soft Edge Expansions for the Gaussian $β$ Ensembles

Published 15 Oct 2025 in math-ph and math.MP | (2510.13092v1)

Abstract: We present some review material relating to the topic of optimal asymptotic expansions of correlation functions and associated observables for $\beta$ ensembles in random matrix theory. We also give an introduction to a related line of study that we are presently undertaking.

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