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dc.contributor.author
Foss, Sergey  
dc.contributor.author
Trivellato Rolla, Leonardo  
dc.contributor.author
Sidoravicius, Vladas  
dc.date.available
2017-07-04T15:35:03Z  
dc.date.issued
2015-11  
dc.identifier.citation
Foss, Sergey; Trivellato Rolla, Leonardo; Sidoravicius, Vladas; Greedy walk on the real line; Inst Mathematical Statistics; Annals Of Probability, The; 43; 3; 11-2015; 1399-1418  
dc.identifier.issn
0091-1798  
dc.identifier.uri
http://hdl.handle.net/11336/19452  
dc.description.abstract
We consider a self-interacting process described in terms of a singleserver system with service stations at each point of the real line. The customer arrivals are given by a Poisson point processes on the space–time half plane. The server adopts a greedy routing mechanism, traveling toward the nearest customer, and ignoring new arrivals while in transit. We study the trajectories of the server and show that its asymptotic position diverges logarithmically in time.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Inst Mathematical Statistics  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject.classification
Estadística y Probabilidad  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Greedy walk on the real line  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-06-26T14:08:25Z  
dc.journal.volume
43  
dc.journal.number
3  
dc.journal.pagination
1399-1418  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Foss, Sergey. Heriot-Watt University; Reino Unido  
dc.description.fil
Fil: Trivellato Rolla, Leonardo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Sidoravicius, Vladas. Conselho Nacional de Desenvolvimiento Cientf y Tec. Associacao Instituto Nacional de Matemática Pura E Aplicada; Brasil  
dc.journal.title
Annals Of Probability, The  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1214/13-AOP898  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://projecteuclid.org/euclid.aop/1430830285  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1111.4846  

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