IDEAS home Printed from
   My bibliography  Save this article

Limit theorems for monotonic particle systems and sequential deposition


  • Penrose, Mathew D.


We prove spatial laws of large numbers and central limit theorems for the ultimate number of adsorbed particles in a large class of multidimensional random and cooperative sequential adsorption schemes on the lattice, and also for the Johnson-Mehl model of birth, linear growth and spatial exclusion in the continuum. The lattice result is also applicable to certain telecommunications networks. The proofs are based on a general law of large numbers and central limit theorem for sums of random variables determined by the restriction of a white noise process to large spatial regions.

Suggested Citation

  • Penrose, Mathew D., 2002. "Limit theorems for monotonic particle systems and sequential deposition," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 175-197, April.
  • Handle: RePEc:eee:spapps:v:98:y:2002:i:2:p:175-197

    Download full text from publisher

    File URL:
    Download Restriction: Full text for ScienceDirect subscribers only

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


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

    Cited by:

    1. Penrose, Mathew D. & Rosoman, Tom, 2012. "Percolation of even sites for random sequential adsorption," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1866-1886.
    2. Daniels, Christopher J.E. & Penrose, Mathew D., 2017. "Percolation of even sites for enhanced random sequential adsorption," Stochastic Processes and their Applications, Elsevier, vol. 127(3), pages 803-830.


    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:spapps:v:98:y:2002:i:2:p:175-197. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.