Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications
Resumen:
In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe several consequences, among which the solution (within this setting) to an old conjecture by P. R. Dippolito [Ann. Math. 107 (1978), 403-453] that actions with invariant Cantor sets must be semi-conjugate to piecewise linear actions. In addition, we exhibit examples of locally discrete, minimal actions which are not of Fuchsian type.
| 2022 | |
| ANII: FCE_3_2018_1_148740 | |
|
Dynamical Systems Group Theory |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/34991 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| _version_ | 1807522794714431488 |
|---|---|
| author | Álvarez, Sebastien |
| author2 | Barrientos, Pablo Filimonov, Dmitry Kleptsyn, Victor Malicet, Dominique Meniño Cotón, Carlos Triestino, Michele |
| author2_role | author author author author author author |
| author_facet | Álvarez, Sebastien Barrientos, Pablo Filimonov, Dmitry Kleptsyn, Victor Malicet, Dominique Meniño Cotón, Carlos Triestino, Michele |
| author_role | author |
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| collection | COLIBRI |
| dc.contributor.filiacion.none.fl_str_mv | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemáticas. Barrientos Pablo, Universidade Federal Fluminense Filimonov Dmitry, National Research University (Rusia) Kleptsyn Victor, Institut de Récherche Mathématique de Rennes Malicet Dominique, Université Gustave Eiffel Meniño Cotón Carlos, Universidade de Vigo Triestino Michele, Université de Bourgogne Franche-Comté |
| dc.creator.none.fl_str_mv | Álvarez, Sebastien Barrientos, Pablo Filimonov, Dmitry Kleptsyn, Victor Malicet, Dominique Meniño Cotón, Carlos Triestino, Michele |
| dc.date.accessioned.none.fl_str_mv | 2022-11-24T15:42:56Z |
| dc.date.available.none.fl_str_mv | 2022-11-24T15:42:56Z |
| dc.date.issued.none.fl_str_mv | 2022 |
| dc.description.abstract.none.fl_txt_mv | In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe several consequences, among which the solution (within this setting) to an old conjecture by P. R. Dippolito [Ann. Math. 107 (1978), 403-453] that actions with invariant Cantor sets must be semi-conjugate to piecewise linear actions. In addition, we exhibit examples of locally discrete, minimal actions which are not of Fuchsian type. |
| dc.description.sponsorship.none.fl_txt_mv | ANII: FCE_3_2018_1_148740 |
| dc.format.extent.es.fl_str_mv | 31 h |
| dc.format.mimetype.es.fl_str_mv | application/pdf |
| dc.identifier.citation.es.fl_str_mv | Álvarez, S, Barrientos, P, Filimonov, D, [y otros autores] "Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications". [Preprint]. Publicado en: Mathematics (Dynamical Systems), arXiv:2104.03348. jan 2022, pp 1-31. |
| dc.identifier.doi.none.fl_str_mv | 10.48550/arXiv.2104.03348 |
| dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/34991 |
| dc.language.iso.none.fl_str_mv | en eng |
| dc.publisher.es.fl_str_mv | arXiv |
| dc.relation.ispartof.es.fl_str_mv | Mathematics (Dynamical Systems), arXiv:2104.03348 , jan 2022, pp 1-31 |
| dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
| dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
| dc.subject.es.fl_str_mv | Dynamical Systems Group Theory |
| dc.title.none.fl_str_mv | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| dc.type.es.fl_str_mv | Preprint |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/preprint |
| dc.type.version.none.fl_str_mv | info:eu-repo/semantics/submittedVersion |
| description | In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe several consequences, among which the solution (within this setting) to an old conjecture by P. R. Dippolito [Ann. Math. 107 (1978), 403-453] that actions with invariant Cantor sets must be semi-conjugate to piecewise linear actions. In addition, we exhibit examples of locally discrete, minimal actions which are not of Fuchsian type. |
| eu_rights_str_mv | openAccess |
| format | preprint |
| id | COLIBRI_3ab154d4ea6dc15151f7f911cc1bdfc8 |
| identifier_str_mv | Álvarez, S, Barrientos, P, Filimonov, D, [y otros autores] "Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications". [Preprint]. Publicado en: Mathematics (Dynamical Systems), arXiv:2104.03348. jan 2022, pp 1-31. 10.48550/arXiv.2104.03348 |
| instacron_str | Universidad de la República |
| institution | Universidad de la República |
| instname_str | Universidad de la República |
| language | eng |
| language_invalid_str_mv | en |
| network_acronym_str | COLIBRI |
| network_name_str | COLIBRI |
| oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/34991 |
| publishDate | 2022 |
| reponame_str | COLIBRI |
| repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
| repository.name.fl_str_mv | COLIBRI - Universidad de la República |
| repository_id_str | 4771 |
| rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| spelling | Álvarez Sebastien, Universidad de la República (Uruguay). Facultad de Ciencias. Centro de Matemáticas.Barrientos Pablo, Universidade Federal FluminenseFilimonov Dmitry, National Research University (Rusia)Kleptsyn Victor, Institut de Récherche Mathématique de RennesMalicet Dominique, Université Gustave EiffelMeniño Cotón Carlos, Universidade de VigoTriestino Michele, Université de Bourgogne Franche-Comté2022-11-24T15:42:56Z2022-11-24T15:42:56Z2022Álvarez, S, Barrientos, P, Filimonov, D, [y otros autores] "Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications". [Preprint]. Publicado en: Mathematics (Dynamical Systems), arXiv:2104.03348. jan 2022, pp 1-31.https://hdl.handle.net/20.500.12008/3499110.48550/arXiv.2104.03348In the first part of this work we have established an efficient method to obtain a topological classification of locally discrete, finitely generated, virtually free subgroups of real-analytic circle diffeomorphisms. In this second part we describe several consequences, among which the solution (within this setting) to an old conjecture by P. R. Dippolito [Ann. Math. 107 (1978), 403-453] that actions with invariant Cantor sets must be semi-conjugate to piecewise linear actions. In addition, we exhibit examples of locally discrete, minimal actions which are not of Fuchsian type.Submitted by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-23T19:01:51Z No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2104.03348.pdf: 946280 bytes, checksum: 7823df46c3cdad4f57c2ef8227da6798 (MD5)Approved for entry into archive by Faget Cecilia (lfaget@fcien.edu.uy) on 2022-11-24T12:06:02Z (GMT) No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2104.03348.pdf: 946280 bytes, checksum: 7823df46c3cdad4f57c2ef8227da6798 (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2022-11-24T15:42:56Z (GMT). No. of bitstreams: 2 license_rdf: 23149 bytes, checksum: 1996b8461bc290aef6a27d78c67b6b52 (MD5) 2104.03348.pdf: 946280 bytes, checksum: 7823df46c3cdad4f57c2ef8227da6798 (MD5) Previous issue date: 2022ANII: FCE_3_2018_1_14874031 happlication/pdfenengarXivMathematics (Dynamical Systems), arXiv:2104.03348 , jan 2022, pp 1-31Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad de la República.(Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Dynamical SystemsGroup TheoryPing-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: ApplicationsPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaÁlvarez, SebastienBarrientos, PabloFilimonov, DmitryKleptsyn, VictorMalicet, DominiqueMeniño Cotón, CarlosTriestino, MicheleLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/34991/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/34991/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; 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- Universidad de la Repúblicafalse |
| spellingShingle | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications Álvarez, Sebastien Dynamical Systems Group Theory |
| status_str | submittedVersion |
| title | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| title_full | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| title_fullStr | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| title_full_unstemmed | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| title_short | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| title_sort | Ping-pong partitions and locally discrete groups of real-analytic circle diffeomorphisms, II: Applications |
| topic | Dynamical Systems Group Theory |
| url | https://hdl.handle.net/20.500.12008/34991 |
