IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v171y1991i3p453-470.html
   My bibliography  Save this article

Bootstrap percolation

Author

Listed:
  • Adler, Joan

Abstract

Bootstrap percolation (BP) models are systems where sites are initially randomly occupied. Those sites that do not maintain a suitable local environment of occupied sites are successively removed. This culling process can be identified with a cellular automation. Variations of the local rules concerning suitable environments, lead to different families of models, which have members with percolation transitions of the usual type, as well as representatives undergo different types of first order transitions. The latter transitions are manifestations of longer ranged phenomena in the systems. In this review different families of the BP type are introduced and their relationships summarized. The finite-size effects observed near the first order transitions are also discussed. Recent exact and numerical results are presented, and some applications and open problems are outlined.

Suggested Citation

  • Adler, Joan, 1991. "Bootstrap percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(3), pages 453-470.
  • Handle: RePEc:eee:phsmap:v:171:y:1991:i:3:p:453-470
    DOI: 10.1016/0378-4371(91)90295-N
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190295N
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/0378-4371(91)90295-N?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cerf, R. & Manzo, F., 2002. "The threshold regime of finite volume bootstrap percolation," Stochastic Processes and their Applications, Elsevier, vol. 101(1), pages 69-82, September.
    2. Gil, Maria Angeles & Gonzalez-Rodriguez, Gil & Colubi, Ana & Montenegro, Manuel, 2007. "Testing linear independence in linear models with interval-valued data," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3002-3015, March.
    3. John Higgins & Tarun Sabarwal, 2021. "Control and Spread of Contagion in Networks," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202201, University of Kansas, Department of Economics, revised Jan 2022.
    4. Mountford, T. S., 1995. "Critical length for semi-oriented bootstrap percolation," Stochastic Processes and their Applications, Elsevier, vol. 56(2), pages 185-205, April.
    5. Chen, Zhihua & An, Haizhong & An, Feng & Guan, Qing & Hao, Xiaoqing, 2018. "Structural risk evaluation of global gas trade by a network-based dynamics simulation model," Energy, Elsevier, vol. 159(C), pages 457-471.
    6. Bastas, N. & Giazitzidis, P. & Maragakis, M. & Kosmidis, K., 2014. "Explosive percolation: Unusual transitions of a simple model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 54-65.
    7. Kolotev, Sergei & Malyutin, Aleksandr & Burovski, Evgeni & Krashakov, Sergei & Shchur, Lev, 2018. "Dynamic fractals in spatial evolutionary games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 142-147.
    8. D. Dujak & A. Karač & Lj. Budinski-Petković & Z. M. Jakšić & S. B. Vrhovac, 2022. "Percolation and jamming properties in particle shape-controlled seeded growth model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-16, September.
    9. Franco Bagnoli & Emanuele Bellini & Emanuele Massaro & Raúl Rechtman, 2019. "Percolation and Internet Science," Future Internet, MDPI, vol. 11(2), pages 1-26, February.

    More about this item

    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:eee:phsmap:v:171:y:1991:i:3:p:453-470. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.