IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/69805.html
   My bibliography  Save this paper

Emergence of giant strongly connected components in continuum disk-spin percolation

Author

Listed:
  • Caravelli, Francesco
  • Bardoscia, Marco
  • Caccioli, Fabio

Abstract

We propose a continuum model of percolation in two dimensions for overlapping disks with spin. In this model the existence of bonds is determined by the distance between the centers of the disks, and by the scalar product of the (randomly) directed spin with the direction of the vector connecting the centers of neighboring disks. The direction of a single spin is controlled by a "temperature", representing the amount of polarization of the spins in the direction of an external field. Our model is inspired by biological neuronal networks and aims to characterize their topological properties when axonal guidance plays a major role. We numerically study the phase diagram of the model observing the emergence of a giant strongly connected component, representing the portion of neurons that are causally connected. We provide strong evidence that the critical exponents depend on the temperature.

Suggested Citation

  • Caravelli, Francesco & Bardoscia, Marco & Caccioli, Fabio, 2016. "Emergence of giant strongly connected components in continuum disk-spin percolation," LSE Research Online Documents on Economics 69805, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:69805
    as

    Download full text from publisher

    File URL: http://eprints.lse.ac.uk/69805/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Oecd, 2015. "Case law," Nuclear Law Bulletin, OECD Publishing, vol. 2015(1).
    2. Oecd, 2015. "Case law," Nuclear Law Bulletin, OECD Publishing, vol. 2014(2), pages 113-118.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Piermichele La Sala & Raffaele Silvestri & Francesco Contò, 2017. "Differentiation strategies for the wine and nursery sector: empirical evidence from an Italy region," Agricultural and Food Economics, Springer;Italian Society of Agricultural Economics (SIDEA), vol. 5(1), pages 1-17, December.
    2. Richard E. Wagner, 2015. "Welfare Economics and Second-Best Theory: Filling Imaginary Economic Boxes," Cato Journal, Cato Journal, Cato Institute, vol. 35(1), pages 133-146, Winter.
    3. repec:ags:aaea16:236057 is not listed on IDEAS

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ehl:lserod:69805. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.