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math.SP2026
A sandwich theorem for the spectrum of graph coverings
Charles Bordenave, Wenbo Li, Joe Thomas
We show that all normal covers of a fixed finite graph sitting between the universal and maximal abelian covers share the same atomic part of their spectral measures. We give a…
math.SP2026
Quantum mixing on large Schreier graphs
Charles Bordenave, Cyril Letrouit, Mostafa Sabri
We prove quantum ergodicity and quantum mixing for sequences of finite Schreier graphs converging to an infinite Cayley graph whose adjacency operator has absolutely continuous spe…