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

Abstract : 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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Contributor : Sandrine Daurat <>
Submitted on : Friday, January 16, 2015 - 5:07:17 PM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
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Sandrine Daurat, Johan Taflin. Codimension-one attracting sets in $\mathbb{P}^k(\mathbb{C})$. Ergodic Theory and Dynamical Systems, Cambridge University Press (CUP), 2018, 38 (1), pp.63-80. ⟨10.1017/etds.2016.31⟩. ⟨hal-01104428⟩

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