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Growth of a tree with allocation rules. Part 1: kinematics

  • Olivier BuiEmail author
  • Xavier Leoncini
Regular Article
  • 8 Downloads

Abstract

A non-local model describing the growth of a tree-like transportation network with given allocation rules is proposed. In this model we focus on a tree-like network, and the network transports the resource it needs to build itself. Some general results are given on the viability tree-like networks which ressources are produced at the leaves while having maintenance and growing costs at each node. Some analytical studies and numerical surveys of the model in “simple” situations are made. The different outcomes are discussed and possible extensions of the model are then discussed.

Graphical abstract

Keywords

Statistical and Nonlinear Physics 

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Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Aix Marseille Univ., Université de Toulon, CNRS, CPTMarseilleFrance

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