4 papers
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…
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…
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…
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…