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|Title:||Dynamical obstruction to the existence of continuous sub-actions for interval maps with regularly varying property|
|Abstract:||For transformations with regularly varying property, we identify a class of moduli of continuity related to the local behavior of the dynamics near a fixed point, and we prove that this class is not compatible with the existence of continuous sub-actions. The dynamical obstruction is given merely by a local property. As a natural complement, we also deal with the question of the existence of continuous sub-actions focusing on a particular dynamic setting. Applications of both results include interval maps that are expanding outside a neutral fixed point, as Manneville-Pomeau and Farey maps|
Módulo de continuidade (Análise matemática)
|Editor:||American Institute of Mathematical Sciences|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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