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Greedy walk on the real line

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Foss, Sergey, Rolla, Leonardo T. and Sidoravicius, Vladas (2015) Greedy walk on the real line. The Annals of Probability, 43 (3). pp. 1399-1418. doi:10.1214/13-AOP898

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Official URL: http://dx.doi.org/10.1214/13-AOP898

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Abstract

We consider a self-interacting process described in terms of a single-server 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.

Item Type: Journal Article
Divisions: Faculty of Science > Statistics
Journal or Publication Title: The Annals of Probability
Publisher: Institute of Mathematical Statistics
ISSN: 0091-1798
Official Date: 2015
Dates:
DateEvent
2015Published
5 May 2015Available
Volume: 43
Number: 3
Page Range: pp. 1399-1418
DOI: 10.1214/13-AOP898
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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