Titre:	Random iterations of maps on Rk: asymptotic stability, synchronisation and functional central limit theorem
Auteur(s):	Matias, Edgar Silva, Eduardo Antônio da
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-3945-3272 https://orcid.org/0000-0002-1677-2705
metadata.dc.contributor.affiliation:	Universidade Federal da Bahia, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Teorema central do limite Sistema dinâmico aleatório
Date de publication:	3-mar-2021
Editeur:	IOP Publishing Ltd & London Mathematical Society
Référence bibliographique:	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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1088/1361-6544/abe17b
metadata.dc.relation.publisherversion:	https://iopscience.iop.org/article/10.1088/1361-6544/abe17b
Collection(s) :	Artigos publicados em periódicos e afins

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