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

Published online by Cambridge University Press:  28 July 2016

SANDRINE DAURAT  and
JOHAN TAFLIN
SANDRINE DAURAT
Affiliation:
University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA email [email protected]
JOHAN TAFLIN
Affiliation:
Université Bourgogne-Franche-Comté, IMB, UMR 5584, 21078 Dijon Cedex, France email [email protected]
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 1 , February 2018 , pp. 63 - 80
Copyright
© Cambridge University Press, 2016 

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