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We propose a reformulation of the bootstrap version of the Multi-ScaleAnalysis (BMSA), developed by Germinet and Klein, to make explicit the factthat BMSA implies asymptotically exponential decay of eigenfunctions (EFs) andof EF correlators (EFCs), in the lattice Anderson models with diagonaldisorder, viz. with an IID random potential. We also show that the exponentialscaling limit of EFs and EFCs holds true for a class of marginal distributionsof the random potential with regularity lower than H\"older continuity of anypositive order.

Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling