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math-ph2025
Quantum variance and fluctuations for Walsh-quantized baker's maps
Laura Shou
The Walsh-quantized baker's maps are models for quantum chaos on the torus. We show that for all baker's map scaling factors except for , typically (in the sense of Ha…
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…