Renormalization group approach to localization via adaptive feedback scaling

A new variant of the scaling analysis of Anderson localization phenomena, further improving the Germinet-Klein bootstrap Multi-Scale Analysis, will be described. It applies to a large class of finite-difference and differential random operators, including some deterministic (e.g., quasiperiodic) and multi-particle random Hamiltonians, possibly featuring infinite-range correlations, and results in a unified proof of asymptotically exponential decay of eigenfunction correlators.