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

Olivier Bui () and Xavier Leoncini
Additional contact information
Olivier Bui: Aix Marseille Univ., Université de Toulon, CNRS, CPT
Xavier Leoncini: Aix Marseille Univ., Université de Toulon, CNRS, CPT

The European Physical Journal B: Condensed Matter and Complex Systems, 2019, vol. 92, issue 7, 1-12

Abstract: 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 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2019-100111-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:92:y:2019:i:7:d:10.1140_epjb_e2019-100111-5

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2019-100111-5

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().