Hypercyclic abelian semigroups of affine maps on C^n

We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. If G is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on C^n has a dense orbit.

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Source https://hal.science/hal-00859335
Author N'Dao, Yahya
Maintainer CCSD
Last Updated May 9, 2026, 20:05 (UTC)
Created May 9, 2026, 20:05 (UTC)
Identifier hal-00859335
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor the research unit: systèmes dynamiques et combinatoire: 99UR15-15 ; Faculté des Sciences de Sfax (FSS) ; جامعة صفاقس - Université de Sfax - University of Sfax-جامعة صفاقس - Université de Sfax - University of Sfax
creator N'Dao, Yahya
date 2013-09-06T00:00:00
harvest_object_id 5e8355ba-864c-4216-b8d0-72512d57a2af
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-05-28T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1309.1725
set_spec type:UNDEFINED