Sphere branched coverings and the growth rate inequality

Iglesias, Jorge - Portela, Aldo - Rovella, Álvaro - Xavier, Juliana

Resumen:

We show that the growth inequality rate lim sup 1 n log(# Fix(f n )) ≥ log d holds for branched coverings of degree d of the sphere S2 having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.

Detalles Bibliográficos
2016
Dynamical Systems
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54826
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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author Iglesias, Jorge
author2 Portela, Aldo
Rovella, Álvaro
Xavier, Juliana
author2_role author
author
author
author_facet Iglesias, Jorge
Portela, Aldo
Rovella, Álvaro
Xavier, Juliana
author_role author
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dc.contributor.filiacion.none.fl_str_mv Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería.
Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería.
Rovella Álvaro, Universidad de la República (Uruguay). Facultad de Ingeniería.
Xavier Juliana, Universidad de la República (Uruguay). Facultad de Ingeniería.
dc.creator.none.fl_str_mv Iglesias, Jorge
Portela, Aldo
Rovella, Álvaro
Xavier, Juliana
dc.date.accessioned.none.fl_str_mv 2026-05-07T17:16:54Z
dc.date.available.none.fl_str_mv 2026-05-07T17:16:54Z
dc.date.issued.none.fl_str_mv 2016
dc.description.abstract.none.fl_txt_mv We show that the growth inequality rate lim sup 1 n log(# Fix(f n )) ≥ log d holds for branched coverings of degree d of the sphere S2 having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.
dc.format.extent.es.fl_str_mv 14 p.
dc.format.mimetype.es.fl_str_mv application/pdf
dc.identifier.citation.es.fl_str_mv Iglesias, J., Portela, A., Rovella, Á. y otros. Sphere branched coverings and the growth rate inequality [Preprint]. EN: arXiv:1612.02356v1 [math.DS], 2016, pp. 1-14. DOI: 10.48550/arXiv.1612.02356. https://arxiv.org/abs/1612.02356.
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12008/54826
dc.language.iso.none.fl_str_mv en
eng
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
dc.title.none.fl_str_mv Sphere branched coverings and the growth rate inequality
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 We show that the growth inequality rate lim sup 1 n log(# Fix(f n )) ≥ log d holds for branched coverings of degree d of the sphere S2 having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.
eu_rights_str_mv openAccess
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identifier_str_mv Iglesias, J., Portela, A., Rovella, Á. y otros. Sphere branched coverings and the growth rate inequality [Preprint]. EN: arXiv:1612.02356v1 [math.DS], 2016, pp. 1-14. DOI: 10.48550/arXiv.1612.02356. https://arxiv.org/abs/1612.02356.
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
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publishDate 2016
reponame_str COLIBRI
repository.mail.fl_str_mv karina.camps@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 Iglesias Jorge, Universidad de la República (Uruguay). Facultad de Ingeniería.Portela Aldo, Universidad de la República (Uruguay). Facultad de Ingeniería.Rovella Álvaro, Universidad de la República (Uruguay). Facultad de Ingeniería.Xavier Juliana, Universidad de la República (Uruguay). Facultad de Ingeniería.2026-05-07T17:16:54Z2026-05-07T17:16:54Z2016Iglesias, J., Portela, A., Rovella, Á. y otros. Sphere branched coverings and the growth rate inequality [Preprint]. EN: arXiv:1612.02356v1 [math.DS], 2016, pp. 1-14. DOI: 10.48550/arXiv.1612.02356. https://arxiv.org/abs/1612.02356.https://hdl.handle.net/20.500.12008/54826We show that the growth inequality rate lim sup 1 n log(# Fix(f n )) ≥ log d holds for branched coverings of degree d of the sphere S2 having a completely invariant simply connected region R with locally connected boundary, except in some degenerate cases with known couterexamples.Submitted by Ribeiro Jorge (jribeiro@fing.edu.uy) on 2026-04-29T18:58:44Z No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 279969 bytes, checksum: 3de92d92c63dceb4844595f57be47f4b (MD5)Approved for entry into archive by Machado Jimena (jmachado@fing.edu.uy) on 2026-05-07T16:18:23Z (GMT) No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 279969 bytes, checksum: 3de92d92c63dceb4844595f57be47f4b (MD5)Made available in DSpace by Luna Fabiana (fabiana.luna@seciu.edu.uy) on 2026-05-07T17:16:54Z (GMT). No. of bitstreams: 2 license_rdf: 27293 bytes, checksum: d62648cf14c1e37917d392ac87012955 (MD5) IPRX16.pdf: 279969 bytes, checksum: 3de92d92c63dceb4844595f57be47f4b (MD5) Previous issue date: 201614 p.application/pdfenengLas 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 SystemsSphere branched coverings and the growth rate inequalityPreprintinfo:eu-repo/semantics/preprintinfo:eu-repo/semantics/submittedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaIglesias, JorgePortela, AldoRovella, ÁlvaroXavier, JulianaLICENSElicense.txtlicense.txttext/plain; charset=utf-84267http://localhost:8080/xmlui/bitstream/20.500.12008/54826/5/license.txt6429389a7df7277b72b7924fdc7d47a9MD55CC-LICENSElicense_urllicense_urltext/plain; charset=utf-850http://localhost:8080/xmlui/bitstream/20.500.12008/54826/2/license_urla006180e3f5b2ad0b88185d14284c0e0MD52license_textlicense_texttext/html; charset=utf-835935http://localhost:8080/xmlui/bitstream/20.500.12008/54826/3/license_text00c6a163e62314ee9d2a181a90bf9e84MD53license_rdflicense_rdfapplication/rdf+xml; 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públicahttps://udelar.edu.uy/https://www.colibri.udelar.edu.uy/oai/requestkarina.camps@seciu.edu.uyUruguayopendoar:47712026-05-07T17:16:54COLIBRI - Universidad de la Repúblicafalse
spellingShingle Sphere branched coverings and the growth rate inequality
Iglesias, Jorge
Dynamical Systems
status_str submittedVersion
title Sphere branched coverings and the growth rate inequality
title_full Sphere branched coverings and the growth rate inequality
title_fullStr Sphere branched coverings and the growth rate inequality
title_full_unstemmed Sphere branched coverings and the growth rate inequality
title_short Sphere branched coverings and the growth rate inequality
title_sort Sphere branched coverings and the growth rate inequality
topic Dynamical Systems
url https://hdl.handle.net/20.500.12008/54826

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