Adlene Ayadi

Publications:

Ayadi  A., N'dao Y.
Dynamics and Hypercyclicity of Non-Abelian Groups of Dilations in C^n
, , pp. 
Abstract
This paper investigates the dynamical behavior of the non-abelian group G generated by dilations (homotheties and translations) acting on C^n. We provide a comprehensive description of the closure of each orbit and establish a rigorous criterion for determining hypercyclicity of G.
Keywords: dilations, Homothety, transformations, translations, affine, group, rotation, dense orbit, action

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