Publicação: Ergodic properties of triangle partitions
dc.contributor.author | Messaoudi, Ali [UNESP] | |
dc.contributor.author | Nogueira, Arnaldo | |
dc.contributor.author | Schweiger, Fritz | |
dc.contributor.institution | Salzburg Univ | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.contributor.institution | Inst Math Luminy | |
dc.date.accessioned | 2014-05-20T14:02:54Z | |
dc.date.available | 2014-05-20T14:02:54Z | |
dc.date.issued | 2009-07-01 | |
dc.description.abstract | We study the ergodic properties of a map called the Triangle Sequence. We prove that the algorithm is weakly convergent almost surely, and ergodic. As far as we know, it is the first example of a 2-dimensional algorithm where a surprising diophantine phenomenon happens: there are sequences of nested cells whose intersection is a segment, although no vertex is fixed. Examples of n-dimensional algorithms presenting this behavior were known for n >= 3. | en |
dc.description.affiliation | Salzburg Univ, Fachbereich Math, A-5020 Salzburg, Austria | |
dc.description.affiliation | UNESP, Dept Matemat, BR-15054000 Sao Jose do RioPreto, SP, Brazil | |
dc.description.affiliation | Inst Math Luminy, F-13288 Marseille, France | |
dc.description.affiliationUnesp | UNESP, Dept Matemat, BR-15054000 Sao Jose do RioPreto, SP, Brazil | |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
dc.description.sponsorship | Fundação para o Desenvolvimento da UNESP (FUNDUNESP) | |
dc.description.sponsorshipId | CNPq: 481406/2004-2 | |
dc.description.sponsorshipId | CNPq: 302298/2003-7 | |
dc.description.sponsorshipId | FUNDUNESP: 00592/06-DF | |
dc.format.extent | 283-299 | |
dc.identifier | http://dx.doi.org/10.1007/s00605-008-0065-z | |
dc.identifier.citation | Monatshefte Fur Mathematik. Wien: Springer Wien, v. 157, n. 3, p. 283-299, 2009. | |
dc.identifier.doi | 10.1007/s00605-008-0065-z | |
dc.identifier.issn | 0026-9255 | |
dc.identifier.lattes | 2111365241513122 | |
dc.identifier.uri | http://hdl.handle.net/11449/22160 | |
dc.identifier.wos | WOS:000266830800007 | |
dc.language.iso | eng | |
dc.publisher | Springer Wien | |
dc.relation.ispartof | Monatshefte Fur Mathematik | |
dc.relation.ispartofjcr | 0.735 | |
dc.relation.ispartofsjr | 0,773 | |
dc.rights.accessRights | Acesso restrito | |
dc.source | Web of Science | |
dc.subject | Ergodic theory | en |
dc.subject | Invariant measures | en |
dc.title | Ergodic properties of triangle partitions | en |
dc.type | Artigo | |
dcterms.license | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
dcterms.rightsHolder | Springer Wien | |
dspace.entity.type | Publication | |
unesp.author.lattes | 2111365241513122[1] | |
unesp.author.orcid | 0000-0003-1703-9414[1] | |
unesp.campus | Universidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
unesp.department | Matemática - IBILCE | pt |
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