# Equipartition principle for Wigner matrices

@article{Bao2021EquipartitionPF, title={Equipartition principle for Wigner matrices}, author={Z. Bao and L. Erdős and Kevin Schnelli}, journal={Forum of Mathematics, Sigma}, year={2021}, volume={9} }

Abstract We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high precision. This shows a particularly strong microcanonical form of the equipartition principle for quantum systems whose components are modelled by Wigner matrices.

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