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Scale-invariant random spatial networks


 
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1. Title Title of document Scale-invariant random spatial networks
 
2. Creator Author's name, affiliation, country David Aldous; University of California, Berkeley; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Poisson process, scale invariance, spatial network.
 
3. Subject Subject classification 60D05, 90B20
 
4. Description Abstract

Real-world road networks have an approximate scale-invariance property; can one devise mathematical models of random networks whose distributions are exactly invariant under Euclidean scaling? This requires working in the continuum plane. We introduce an axiomatization of a class of processes we call "scale-invariant random spatial networks", whose primitives are routes between each pair of points in the plane. We prove that one concrete model, based on minimum-time routes in a binary hierarchy of roads with different speed limits, satisfies the axioms, and note informally that two other constructions (based on Poisson line processes and on dynamic proximity graphs) are expected also to satisfy the axioms. We initiate study of structure theory and summary statistics for general processes in this class.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) N.S.F.
 
7. Date (YYYY-MM-DD) 2014-01-28
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/2920
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-2920
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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