Random iterations of maps on Rk: asymptotic stability, synchronisation and functional central limit theorem

Matias, Edgar; Silva, Eduardo Antônio da

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dc.contributor.author	Matias, Edgar	-
dc.contributor.author	Silva, Eduardo Antônio da	-
dc.date.accessioned	2024-02-08T17:19:23Z	-
dc.date.available	2024-02-08T17:19:23Z	-
dc.date.issued	2021-03-03	-
dc.identifier.citation	MATIAS, Edgar; SILVA, Eduardo. Random iterations of maps on Rk: asymptotic stability, synchronisation and functional central limit theorem. Nonlinearity, London, v. 34, n. 3, 1577-1597, 2021. DOI: https://doi.org/10.1088/1361-6544/abe17b.	pt_BR
dc.identifier.issn	1361-6544	-
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/47710	-
dc.language.iso	eng	pt_BR
dc.publisher	IOP Publishing Ltd & London Mathematical Society	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Random iterations of maps on Rk: asymptotic stability, synchronisation and functional central limit theorem	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Teorema central do limite	pt_BR
dc.subject.keyword	Sistema dinâmico aleatório	pt_BR
dc.identifier.doi	https://doi.org/10.1088/1361-6544/abe17b	pt_BR
dc.relation.publisherversion	https://iopscience.iop.org/article/10.1088/1361-6544/abe17b	-
dc.description.abstract1	We study independent and identically distributed random iterations of continuous maps defined on a connected closed subset S of the Euclidean space Rk. We assume the maps are monotone (with respect to a suitable partial order) and a ‘topological’ condition on the maps. Then, we prove the existence of a pullback random attractor whose distribution is the unique stationary measure of the random iteration, and we obtain the synchronisation of random orbits. As a consequence of the synchronisation phenomenon, a functional central limit theorem is established.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-3945-3272	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-1677-2705	pt_BR
dc.contributor.affiliation	Universidade Federal da Bahia, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
Collection(s) :	Artigos publicados em periódicos e afins