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Codimension-one attracting sets in $\mathbb{P}^{k}(\mathbb{C})$



We are interested in attracting sets of $\mathbb{P}^{k}(\mathbb{C})$ which are of small topological degree and of codimension one. We first show that there exists a large family of examples. Then we study their ergodic and pluripotential theoretic properties.



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