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math-ph2024
Spectrum and Lifshitz tails for the Anderson model on the Sierpinski gasket graph
Laura Shou, Wei Wang, Shiwen Zhang
In this work, we study the Anderson model on the Sierpinski gasket graph. We first identify the almost sure spectrum of the Anderson model when the support of the random potential…
math-ph2024
Landscape estimates of the integrated density of states for Jacobi operators on graphs
Laura Shou, Wei Wang, Shiwen Zhang
We show the integrated density of states for a variety of Jacobi operators on graphs, such as the Anderson model and random hopping models on graphs with Gaussian heat kernel bound…
math-ph2022
Landscape approximation of the ground state eigenvalue for graphs and random hopping models
Laura Shou, Wei Wang, Shiwen Zhang
We consider the localization landscape function and ground state eigenvalue for operators on graphs. We first show that the maximum of the landscape function is comparable…