K-stability and Fujita Approximation

This note is a continuation to the paper [26]. We derive formula for non-Archimedean Monge-Ampère measures of big models. As applications, we positive intersection Mabuchi functional, and further reduces ( $$\textrm{Aut}(X, L)_0$$ )-uniform Yau-Tian-Donaldson conjecture polarized manifolds on existence approximate Zariski decompositions that satisfy some asymptotic vanishing condition. In an appendix, also verify this Nakayama’s examples do not admit birational decompositions.