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A sandwich theorem for the spectrum of graph coverings

Bordenave, Charles et al.
arXiv (All) · Papers
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combinatoricsmathematical-physicsoperator-algebrasspectral-theory
We show that all normal covers of a fixed finite graph $G$ sitting between the universal and maximal abelian covers share the same atomic part of their spectral measures. We give an explicit double formula for the mass of atoms which generalises and unifies known results on universal covering trees
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