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math-ph2021
On Spatial Conditioning of the Spectrum of Discrete Random Schrödinger Operators
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
Consider a random Schrödinger-type operator of the form acting on a general graph , where is the generator of a Markov proce…
math-ph2019★ 1 cited
Spectral rigidity of random Schrödinger operators via Feynman-Kac formulas
Pierre Yves Gaudreau Lamarre, Promit Ghosal, Yuchen Liao
We develop a technique for proving number rigidity (in the sense of Ghosh-Peres) of the spectrum of general random Schrödinger operators (RSOs). Our method makes use of Feynman-Kac…