$\log$-H\"older regularity of currents and equidistribution towards Green currents
Complex Variables
2026-03-10 v2 Dynamical Systems
Abstract
Let be an endomorphism of a projective space or an automorphism of a compact K\"ahler manifold. We prove that the pull-backs of currents under the iterates of converge exponentially fast to the Green currents when tested at -H\"older-continuous observables whose 's have bounded mass.
Cite
@article{arxiv.2510.00789,
title = {$\log$-H\"older regularity of currents and equidistribution towards Green currents},
author = {Marco Vergamini},
journal= {arXiv preprint arXiv:2510.00789},
year = {2026}
}