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Title: Cohomology of discrete dynamical systems
Authors: Laureano, M.
Keywords: Cocycles
Cohomological equations
Periodic data
Livschitz theorem
Anosov closing lemma
Issue Date: 2013
Publisher: Progress IPS LLC
Abstract: This article presents a detailed treatment of Livschitz theorem for hyperbolic diffeomorphisms. Based on the periodic data, this theorem provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions. It is one of the main tools to obtain global data of cohomological nature from the periodic data. Since it is crucial in the statement of Livschitz theorem, it is also presented the Anosov closing lemma.
Peer reviewed: yes
DOI: 10.7813/jmt.2013/4-2/7
ISSN: 2078-0257
Publisher version: The definitive version is available at:
Appears in Collections:DM-RI - Artigos em revistas científicas internacionais

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