J-class of finitely generated abelian semigroups of affine mpas on C^n and Hypercyclicity

We give a characterization of hypercyclic using (locally hypercyclic) of semigroup G of affine maps of C^n. We prove the existence of a G-invariant open subset of C^n in which any locally hypercyclic orbit is dense in C^n.

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Source https://hal.science/hal-00861709
Author N'Dao, Yahya
Maintainer CCSD
Last Updated May 9, 2026, 18:15 (UTC)
Created May 9, 2026, 18:15 (UTC)
Identifier hal-00861709
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 2013-09-13T00:00:00
harvest_object_id 21f35aa5-67d1-4bef-9594-3f6bb7880416
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/1309.3727
set_spec type:UNDEFINED