Greedy walk on the real line

Serguei Foss, Leonardo T. Rolla, Vladas Sidoravicius

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1399-1418
Number of pages20
JournalAnnals of Probability
Issue number3
Early online date5 May 2015
Publication statusPublished - 2015


  • Greedy policy
  • Long-term behavior
  • Self-interaction
  • Stability

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'Greedy walk on the real line'. Together they form a unique fingerprint.

Cite this