Exportar Publicação

A publicação pode ser exportada nos seguintes formatos: referência da APA (American Psychological Association), referência do IEEE (Institute of Electrical and Electronics Engineers), BibTeX e RIS.

Exportar Referência (APA) 
Laureano, R. D. (2024). From Anosov Closing Lemma to global data of cohomological nature. European Journal of Pure and Applied Mathematics. 17 (3), 1403-1416
Exportar Referência (IEEE) 
M. D. Laureano,  "From Anosov Closing Lemma to global data of cohomological nature", in European Journal of Pure and Applied Mathematics, vol. 17, no. 3, pp. 1403-1416, 2024
Exportar BibTeX 
@article{laureano2024_1732210917983,
	author = "Laureano, R. D.",
	title = "From Anosov Closing Lemma to global data of cohomological nature",
	journal = "European Journal of Pure and Applied Mathematics",
	year = "2024",
	volume = "17",
	number = "3",
	doi = "10.29020/nybg.ejpam.v17i3.5293",
	pages = "1403-1416",
	url = "https://www.ejpam.com/index.php/ejpam/about"
}
Exportar RIS 
TY  - JOUR
TI  - From Anosov Closing Lemma to global data of cohomological nature
T2  - European Journal of Pure and Applied Mathematics
VL  - 17
IS  - 3
AU  - Laureano, R. D.
PY  - 2024
SP  - 1403-1416
DO  - 10.29020/nybg.ejpam.v17i3.5293
UR  - https://www.ejpam.com/index.php/ejpam/about
AB  - For diffeomorphisms with hyperbolic sets, the Anosov Closing Lemma ensures the existence of periodic orbits in the neighbourhood of orbits that return close enough to themselves. Moreover, it defines how is controlled the distance between corresponding points of an initial orbit and the constructed periodic orbits. In the essential, this article presents proof of the estimate of this distance. The Anosov Closing Lemma is crucial in the statement of Livschitz Theorem that, based only on the periodic data, provides a necessary and sufficient condition so that cohomological equations have sufficiently regular solutions, Hölder solutions. It is one of the main tools to obtain global data of cohomological nature based only on periodic data. 
As suggested by Katok and Hasselblat in \cite{KH}, it is demonstrated, in detail and in the cohomology context, the Livschitz Theorem for hyperbolic diffeomorphisms, where the mentioned distance control inequality is essential.
ER  -