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

* Corresponding author
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.
Document type :
Journal articles
Domain :
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01104428
Contributor : Sandrine Daurat <>
Submitted on : Friday, January 16, 2015 - 5:07:17 PM
Last modification on : Wednesday, August 7, 2019 - 2:34:15 PM
Long-term archiving on : Friday, September 11, 2015 - 6:59:35 AM

### Files

astdcd2.pdf
Files produced by the author(s)

### Citation

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⟩

Record views