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 ddc's have bounded mass.
log-Hölder regularity of currents and equidistribution towards Green currents
Vergamini, Marco
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 ddc's have bounded mass.File in questo prodotto:
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