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…