$\log$-Hölder regularity of currents and equidistribution towards Green currents
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912953222037504 |
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| author | Vergamini, Marco |
| author_facet | Vergamini, Marco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\log$-Hölder regularity of currents and equidistribution towards Green currents Vergamini, Marco Complex Variables Dynamical Systems 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. |
| title | $\log$-Hölder regularity of currents and equidistribution towards Green currents |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2510.00789 |