Scaling limit of the radial Poissonian web
ABSTRACT: We consider a variant of the radial spanning tree introduced by Baccelli and Bordenave. Like the original model, our model is a tree rooted at the origin, built on the realization of a planar Poisson point process. Unlike it, the paths of our model have independent jumps. We show that loca...
- Autores:
-
Valencia Henao, Leon Alexander
Fontes, Luiz Renato
Valle, Glauco
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/39818
- Acceso en línea:
- https://hdl.handle.net/10495/39818
- Palabra clave:
- Brownian bridges (Mathematics)
Puentes brownianos (Matemáticas)
Procesos de Poisson
Poisson processes
http://id.loc.gov/authorities/subjects/sh92001913
http://id.loc.gov/authorities/subjects/sh85103958
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-sa/4.0/
| id |
UDEA2_ebb69cebebbdc4934752c7a7f42798e7 |
|---|---|
| oai_identifier_str |
oai:bibliotecadigital.udea.edu.co:10495/39818 |
| network_acronym_str |
UDEA2 |
| network_name_str |
Repositorio UdeA |
| repository_id_str |
|
| dc.title.spa.fl_str_mv |
Scaling limit of the radial Poissonian web |
| title |
Scaling limit of the radial Poissonian web |
| spellingShingle |
Scaling limit of the radial Poissonian web Brownian bridges (Mathematics) Puentes brownianos (Matemáticas) Procesos de Poisson Poisson processes http://id.loc.gov/authorities/subjects/sh92001913 http://id.loc.gov/authorities/subjects/sh85103958 |
| title_short |
Scaling limit of the radial Poissonian web |
| title_full |
Scaling limit of the radial Poissonian web |
| title_fullStr |
Scaling limit of the radial Poissonian web |
| title_full_unstemmed |
Scaling limit of the radial Poissonian web |
| title_sort |
Scaling limit of the radial Poissonian web |
| dc.creator.fl_str_mv |
Valencia Henao, Leon Alexander Fontes, Luiz Renato Valle, Glauco |
| dc.contributor.author.none.fl_str_mv |
Valencia Henao, Leon Alexander Fontes, Luiz Renato Valle, Glauco |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Numérico y Financiero: Matemáticas aplicadas para la industria |
| dc.subject.lcsh.none.fl_str_mv |
Brownian bridges (Mathematics) Puentes brownianos (Matemáticas) Procesos de Poisson Poisson processes |
| topic |
Brownian bridges (Mathematics) Puentes brownianos (Matemáticas) Procesos de Poisson Poisson processes http://id.loc.gov/authorities/subjects/sh92001913 http://id.loc.gov/authorities/subjects/sh85103958 |
| dc.subject.lcshuri.none.fl_str_mv |
http://id.loc.gov/authorities/subjects/sh92001913 http://id.loc.gov/authorities/subjects/sh85103958 |
| description |
ABSTRACT: We consider a variant of the radial spanning tree introduced by Baccelli and Bordenave. Like the original model, our model is a tree rooted at the origin, built on the realization of a planar Poisson point process. Unlike it, the paths of our model have independent jumps. We show that locally our diffusively rescaled tree, seen as the collection of the paths connecting its sites to the root, converges in distribution to the Brownian Bridge Web, which is roughly speaking a collection of coalescing Brownian bridges starting from all the points of a planar strip perpendicular to the time axis, and ending at the origin. |
| publishDate |
2015 |
| dc.date.issued.none.fl_str_mv |
2015 |
| dc.date.accessioned.none.fl_str_mv |
2024-06-09T15:11:41Z |
| dc.date.available.none.fl_str_mv |
2024-06-09T15:11:41Z |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.redcol.spa.fl_str_mv |
https://purl.org/redcol/resource_type/ART |
| dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| format |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| status_str |
publishedVersion |
| dc.identifier.issn.none.fl_str_mv |
1083-6489 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10495/39818 |
| dc.identifier.doi.none.fl_str_mv |
10.1214/EJP.v20-3395 |
| identifier_str_mv |
1083-6489 10.1214/EJP.v20-3395 |
| url |
https://hdl.handle.net/10495/39818 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Electron. J. Probab. |
| dc.relation.citationendpage.spa.fl_str_mv |
40 |
| dc.relation.citationissue.spa.fl_str_mv |
31 |
| dc.relation.citationstartpage.spa.fl_str_mv |
1 |
| dc.relation.citationvolume.spa.fl_str_mv |
20 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Electronic Journal of Probability |
| dc.rights.uri.spa.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/ |
| dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| dc.rights.coar.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/ http://creativecommons.org/licenses/by-nc-sa/2.5/co/ http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.extent.spa.fl_str_mv |
40 páginas |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Institute of Mathematical Statistics Bernoulli Society for Mathematical Statistics and Probability |
| dc.publisher.place.spa.fl_str_mv |
Seattle, Estados Unidos |
| institution |
Universidad de Antioquia |
| bitstream.url.fl_str_mv |
https://bibliotecadigital.udea.edu.co/bitstreams/725059b5-4fd5-4975-aa39-8db21deb0ed1/download https://bibliotecadigital.udea.edu.co/bitstreams/0b630046-f9e8-4521-92c4-6fffe38e5c52/download https://bibliotecadigital.udea.edu.co/bitstreams/403c7c1c-f564-4fa4-ac0f-691010d817bd/download https://bibliotecadigital.udea.edu.co/bitstreams/a66b8433-d57d-40ed-807b-e7a67a00e76c/download https://bibliotecadigital.udea.edu.co/bitstreams/314327ce-4ebe-46f3-bd74-645bcabd6fe7/download |
| bitstream.checksum.fl_str_mv |
d25f072d73b402f39a890365f6736420 e2060682c9c70d4d30c83c51448f4eed 8a4605be74aa9ea9d79846c1fba20a33 707cff03e652405145ea9d60b08e5666 051455f571c0f98ba92a54d95f98d882 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional de la Universidad de Antioquia |
| repository.mail.fl_str_mv |
aplicacionbibliotecadigitalbiblioteca@udea.edu.co |
| _version_ |
1851052197136039936 |
| spelling |
Valencia Henao, Leon AlexanderFontes, Luiz RenatoValle, GlaucoAnálisis Numérico y Financiero: Matemáticas aplicadas para la industria2024-06-09T15:11:41Z2024-06-09T15:11:41Z20151083-6489https://hdl.handle.net/10495/3981810.1214/EJP.v20-3395ABSTRACT: We consider a variant of the radial spanning tree introduced by Baccelli and Bordenave. Like the original model, our model is a tree rooted at the origin, built on the realization of a planar Poisson point process. Unlike it, the paths of our model have independent jumps. We show that locally our diffusively rescaled tree, seen as the collection of the paths connecting its sites to the root, converges in distribution to the Brownian Bridge Web, which is roughly speaking a collection of coalescing Brownian bridges starting from all the points of a planar strip perpendicular to the time axis, and ending at the origin.National Council for Scientific and Technological DevelopmentCOL010637140 páginasapplication/pdfengInstitute of Mathematical StatisticsBernoulli Society for Mathematical Statistics and ProbabilitySeattle, Estados Unidoshttps://creativecommons.org/licenses/by-nc-sa/4.0/http://creativecommons.org/licenses/by-nc-sa/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Brownian bridges (Mathematics)Puentes brownianos (Matemáticas)Procesos de PoissonPoisson processeshttp://id.loc.gov/authorities/subjects/sh92001913http://id.loc.gov/authorities/subjects/sh85103958Scaling limit of the radial Poissonian webArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionElectron. J. Probab.4031120Electronic Journal of Probability305760/2010-6, FAPESP 2009/52379-8, CNPq 304593/2012-5, 474233/2012-0RoR:03swz6y49PublicationORIGINALValenciaLeón_2015_ScalingLimitRadial.pdfValenciaLeón_2015_ScalingLimitRadial.pdfArtículo de investigaciónapplication/pdf499521https://bibliotecadigital.udea.edu.co/bitstreams/725059b5-4fd5-4975-aa39-8db21deb0ed1/downloadd25f072d73b402f39a890365f6736420MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstreams/0b630046-f9e8-4521-92c4-6fffe38e5c52/downloade2060682c9c70d4d30c83c51448f4eedMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/403c7c1c-f564-4fa4-ac0f-691010d817bd/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTValenciaLeón_2015_ScalingLimitRadial.pdf.txtValenciaLeón_2015_ScalingLimitRadial.pdf.txtExtracted texttext/plain108117https://bibliotecadigital.udea.edu.co/bitstreams/a66b8433-d57d-40ed-807b-e7a67a00e76c/download707cff03e652405145ea9d60b08e5666MD56falseAnonymousREADTHUMBNAILValenciaLeón_2015_ScalingLimitRadial.pdf.jpgValenciaLeón_2015_ScalingLimitRadial.pdf.jpgGenerated Thumbnailimage/jpeg10152https://bibliotecadigital.udea.edu.co/bitstreams/314327ce-4ebe-46f3-bd74-645bcabd6fe7/download051455f571c0f98ba92a54d95f98d882MD57falseAnonymousREAD10495/39818oai:bibliotecadigital.udea.edu.co:10495/398182025-03-26 18:27:59.824https://creativecommons.org/licenses/by-nc-sa/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |