Homomorphism to R of semidirect products: a dynamical construction

Detalhes bibliográficos
Autor(a) principal: Bettencourt, G.
Data de Publicação: 2015
Outros Autores: Mendes, S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/10614
Resumo: We define a modified version of Erschler and Karlsson construction of homomorphisms from random walks [A. Erschler and A. Karlsson, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2095?2113]. We show that our definition is well adapted to semidirect products. The same construction is conjectured to work also for other classes of maps like quasi-morphisms.
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spelling Homomorphism to R of semidirect products: a dynamical constructionRandom walks on groupsHomomorphismsSemidirect productWe define a modified version of Erschler and Karlsson construction of homomorphisms from random walks [A. Erschler and A. Karlsson, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2095?2113]. We show that our definition is well adapted to semidirect products. The same construction is conjectured to work also for other classes of maps like quasi-morphisms.Natural Sciences Publishing2016-01-13T13:25:04Z2015-01-01T00:00:00Z20152019-05-14T16:05:04Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/10614eng1935-009010.12785/amis/090522Bettencourt, G.Mendes, S.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:33:06Zoai:repositorio.iscte-iul.pt:10071/10614Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:14:52.977933Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Homomorphism to R of semidirect products: a dynamical construction
title Homomorphism to R of semidirect products: a dynamical construction
spellingShingle Homomorphism to R of semidirect products: a dynamical construction
Bettencourt, G.
Random walks on groups
Homomorphisms
Semidirect product
title_short Homomorphism to R of semidirect products: a dynamical construction
title_full Homomorphism to R of semidirect products: a dynamical construction
title_fullStr Homomorphism to R of semidirect products: a dynamical construction
title_full_unstemmed Homomorphism to R of semidirect products: a dynamical construction
title_sort Homomorphism to R of semidirect products: a dynamical construction
author Bettencourt, G.
author_facet Bettencourt, G.
Mendes, S.
author_role author
author2 Mendes, S.
author2_role author
dc.contributor.author.fl_str_mv Bettencourt, G.
Mendes, S.
dc.subject.por.fl_str_mv Random walks on groups
Homomorphisms
Semidirect product
topic Random walks on groups
Homomorphisms
Semidirect product
description We define a modified version of Erschler and Karlsson construction of homomorphisms from random walks [A. Erschler and A. Karlsson, Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2095?2113]. We show that our definition is well adapted to semidirect products. The same construction is conjectured to work also for other classes of maps like quasi-morphisms.
publishDate 2015
dc.date.none.fl_str_mv 2015-01-01T00:00:00Z
2015
2016-01-13T13:25:04Z
2019-05-14T16:05:04Z
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dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10071/10614
url http://hdl.handle.net/10071/10614
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1935-0090
10.12785/amis/090522
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Natural Sciences Publishing
publisher.none.fl_str_mv Natural Sciences Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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