# A homological approach to the Gaussian Unitary Ensemble

@inproceedings{Gwilliam2022AHA, title={A homological approach to the Gaussian Unitary Ensemble}, author={Owen Gwilliam and Alastair Hamilton and Mahmoud Zeinalian}, year={2022} }

We study the Gaussian Unitary Ensemble (GUE) using noncommutative geometry and the homological framework of the Batalin-Vilkovisky (BV) formalism. Coefficients of the correlation functions in the GUE with respect to the rank N are described in terms of ribbon graph Feynman diagrams that then lead to a counting problem for the corresponding surfaces. The canonical relations provided by this homological setup determine a recurrence relation for these correlation functions. Using this recurrence…

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