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Author

Ling-Fu Zhang

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2 papers indexed here

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Preprint Sep 2026

Localization near the edge for the lattice Anderson-Bernoulli model on general dimension

The Anderson tight-binding model is a fundamental model of quantum transport and localization in disordered media. Completing a problem left open by Bourgain and Kenig, this paper proves Anderson localization near the bottom of the spectrum for the lattice Anderson model with Bernoulli potential, in any dimension $d\ge...

Lin-Jun Li, Shi-He Liu, Ling-Fu Zhang · 2 citations
Preprint Sep 2026

Repeated averaging on expanders I: random $d$-regular graph

Repeated averaging on graphs is a natural prototype of local stochastic exchange, modeling consensus formation, information spreading, and wealth redistribution. Its convergence has attracted longstanding interest, from Bourgain's complete-graph $L^1$ cutoff question in the 80s (answered in recent years by Chatterjee,...

Dong Yao, Ling-Fu Zhang · 0 citations

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