preprint
Inserted: 9 mar 2026
Last Updated: 9 mar 2026
Year: 2025
Abstract:
Let $f$ be an endomorphism of a projective space or an automorphism of a compact Kähler manifold. We prove that the pull-backs of currents under the iterates of $f$ converge exponentially fast to the Green currents when tested at $\log$-Hölder-continuous observables whose $\mathrm{dd^c}$'s have bounded mass.