I study **pluripotential theory on Berkovich spaces**.

**Keywords:** non-Archimedean geometry, algebraic geometry, Berkovich spaces, pluripotential theory.

**ARTICLES**

**The asymptotic Fubini-Study operator over general non-Archimedean fields**

Given an ample line bundle L over a projective K-variety X, with K a non-Archimedean field, we study limits of non-Archimedean metrics on L associated to submultiplicative sequences of norms on the graded pieces of the section ring R(X,L). We show that in a rather general case, the corresponding asymptotic Fubini-Study operator yields a one-to-one correspondence between equivalence classes of bounded graded norms and bounded plurisubharmonic metrics that are regularizable from below. This generalizes results of Boucksom-Jonsson where this problem has been studied in the trivially valued case.

**arxiv: **__2004.11635__

A Berkovich space, caught in the wild and taxidermied: