  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.
