Non-local Minami-type estimates for a class of quasi-periodic media

This paper is a follow-up of our earlier work [11] where a uniform exponential Anderson localization was proved for a class of deterministic (including quasi-periodic) Hamiltonians with the help of a variant of the KAM (Kolmogorov–Arnold–Moser) approach. Building on [11], we prove for the same class of operators a non-local variant of the Minami eigenvalue concentration estimate.