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math.PR2025
Mobility Edge for the Anderson Model on the Bethe Lattice
Amol Aggarwal, Patrick Lopatto
We pinpoint the spectral decomposition for the Anderson tight-binding model with an unbounded random potential on the Bethe lattice of sufficiently large degree. We prove that ther…
math.PR2025
Maximum gap in complex Ginibre matrices
Patrick Lopatto, Moritz Otto
We determine the asymptotic size of the largest gap between bulk eigenvalues in complex Ginibre matrices.