Inversion of a mapping associated with the Aomoto-Forrester system

Detalhes bibliográficos
Autor(a) principal: Caseiro, Raquel
Data de Publicação: 2013
Outros Autores: Françoise, Jean-Pierre, Sasaki, Ryu
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/44501
https://doi.org/10.1142/S0129055X13430095
Resumo: This article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. The interest for such a class comes from a previous article of Aomoto and Forrester. We consider first the one-degree of freedom case and compute the Birkhoff series defined near each of its stationary points. In general, the analysis of the system motivates finding some expression for the inverses of a rational map introduced by Aomoto and Forrester. We derive here some diagrammatic expansion series for these inverses.
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spelling Inversion of a mapping associated with the Aomoto-Forrester systemThis article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. The interest for such a class comes from a previous article of Aomoto and Forrester. We consider first the one-degree of freedom case and compute the Birkhoff series defined near each of its stationary points. In general, the analysis of the system motivates finding some expression for the inverses of a rational map introduced by Aomoto and Forrester. We derive here some diagrammatic expansion series for these inverses.World Scientific Publishing2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/44501http://hdl.handle.net/10316/44501https://doi.org/10.1142/S0129055X13430095https://doi.org/10.1142/S0129055X13430095enghttp://www.worldscientific.com/doi/abs/10.1142/S0129055X13430095Caseiro, RaquelFrançoise, Jean-PierreSasaki, Ryuinfo: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:RCAAP2021-06-29T10:03:20Zoai:estudogeral.uc.pt:10316/44501Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:23.739467Repositório 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 Inversion of a mapping associated with the Aomoto-Forrester system
title Inversion of a mapping associated with the Aomoto-Forrester system
spellingShingle Inversion of a mapping associated with the Aomoto-Forrester system
Caseiro, Raquel
title_short Inversion of a mapping associated with the Aomoto-Forrester system
title_full Inversion of a mapping associated with the Aomoto-Forrester system
title_fullStr Inversion of a mapping associated with the Aomoto-Forrester system
title_full_unstemmed Inversion of a mapping associated with the Aomoto-Forrester system
title_sort Inversion of a mapping associated with the Aomoto-Forrester system
author Caseiro, Raquel
author_facet Caseiro, Raquel
Françoise, Jean-Pierre
Sasaki, Ryu
author_role author
author2 Françoise, Jean-Pierre
Sasaki, Ryu
author2_role author
author
dc.contributor.author.fl_str_mv Caseiro, Raquel
Françoise, Jean-Pierre
Sasaki, Ryu
description This article is devoted to the study of a general class of Hamiltonian systems which extends the Calogero systems with external quadratic potential associated to any root system. The interest for such a class comes from a previous article of Aomoto and Forrester. We consider first the one-degree of freedom case and compute the Birkhoff series defined near each of its stationary points. In general, the analysis of the system motivates finding some expression for the inverses of a rational map introduced by Aomoto and Forrester. We derive here some diagrammatic expansion series for these inverses.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10316/44501
http://hdl.handle.net/10316/44501
https://doi.org/10.1142/S0129055X13430095
https://doi.org/10.1142/S0129055X13430095
url http://hdl.handle.net/10316/44501
https://doi.org/10.1142/S0129055X13430095
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.worldscientific.com/doi/abs/10.1142/S0129055X13430095
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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