Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Power law size distribution of supercritical random trees
 
research article

Power law size distribution of supercritical random trees

De Los Rios, P.  
2001
Europhysics Letters - European Physical Society Letters (EPL)

The probability distribution P(k) of the sizes k of critical trees ( branching ratio m = 1) is well known to show a power law behavior k(-3/2). Such behavior corresponds to the mean-field approximation for many critical and self-organized critical phenomena. Here we show numerically and analytically that also supercritical trees (branching ration m > 1) are critical in that their size distribution obeys a power law k(-2). We mention some possible applications of these results.

  • Details
  • Metrics
Type
research article
DOI
10.1209/epl/i2001-00604-2
Author(s)
De Los Rios, P.  
Date Issued

2001

Publisher

IOP Publishing - EPL Association

Published in
Europhysics Letters - European Physical Society Letters (EPL)
Volume

56

Start page

898

End page

903

Subjects

Branching-Processes

•

Field-Theory

•

Evolution

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LBS  
Available on Infoscience
March 22, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/48379
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés