Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Geodesics and flows in a Poissonian city

Tools
- Tools
+ Tools

Kendall, W. S. (2009) Geodesics and flows in a Poissonian city. Working Paper. Coventry: University of Warwick. Centre for Research in Statistical Methodology. Working papers, Vol.2009 (No.43).

WarningThere is a more recent version of this item available.
[img]
Preview
PDF
WRAP_Kendall_09-43w.pdf - Published Version - Requires a PDF viewer.

Download (843Kb)
Official URL: http://www2.warwick.ac.uk/fac/sci/statistics/crism...

Request Changes to record.

Abstract

The stationary isotropic Poisson line network was used to derive upper bounds
on mean excess network-geodesic length in Aldous and Kendall (2008). This new
paper presents a study of the geometry and fluctuations of near-geodesics in such
a network. The notion of a "Poissonian city" is introduced, in which connections
between pairs of nodes are made using simple "no-overshoot" paths based on the
Poisson line process. Asymptotics for geometric features and random variation in
length are computed for such near-geodesic paths; it is shown that they traverse the
network with an order of efficiency comparable to that of true network geodesics.
Mean characteristics and limiting behaviour at the centre are computed for a natural
network flow. Comparisons are drawn with similar network flows in a city based on
a comparable rectilinear grid. A concluding section discusses several open problems.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Geodesics (Mathematics), Poisson processes
Series Name: Working papers
Publisher: University of Warwick. Centre for Research in Statistical Methodology
Place of Publication: Coventry
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.2009
Number: No.43
Number of Pages: 35
Institution: University of Warwick
Status: Not Peer Reviewed
Access rights to Published version: Open Access

Request changes or add full text files to a record

Available Versions of this Item

  • Geodesics and flows in a Poissonian city. (deposited 04 Jul 2011 14:31) [Currently Displayed]
    • Geodesics and flows in a Poissonian city. (deposited 20 Sep 2011 11:59)

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us