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math-ph2026
Edge localization and Lifshitz tails for graphs with Ahlfors regular volume growth
Laura Shou, Wei Wang, Shiwen Zhang
In this work, we study the Anderson model on graphs with Ahlfors -regular volume growth. We show that, under mild regularity assumptions of the random distribution, Lifshitz-ta…
math-ph2026
Upper and Lower Bounds for The Quantum Dynamics of One-Dimensional Divergence-Type Random Jacobi Operators
Long Li, Wei Wang, Shiwen Zhang
We study quantum transport for the discrete one-dimensional random Jacobi operator of divergence-gradient type. For strictly positive and bounded random variables, we analyze the q…