Author

Wen-Bo Li

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Preprint Sep 2026

A sandwich theorem for the spectrum of graph coverings

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 and maximal abelian...

Charles Bordenave, Wen-Bo Li, Joe Thomas · 0 citations

Preprint Oct 2026

Noncommutative maximal inequalities for polynomial ergodic averages

We prove a noncommutative maximal ergodic inequality for averages along polynomial sequences. Let $\gamma$ be a trace-preserving automorphism of a semifinite von Neumann algebra $(\mathcal N,\tau)$. We show that the associated polynomial averages \begin{equation*} A_Nf:=\frac1N\sum_{n=1}^N\gamma^{P(n)}(f), \qquad N\in\...

Gui-Xiang Hong, Wen-Bo Li, É. Ricard et al. · 0 citations