IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v29y1988i2p171-193.html
   My bibliography  Save this article

Almost subadditive multiparameter ergodic theorems

Author

Listed:
  • Schürger, Klaus

Abstract

The purpose of this paper is to extend recent mean as well as a.e. convergence results of Derriennic (1983), Liggett (1985) and Schürger (1986) to multiparameter processes X which satisfy a strong almost subadditivity condition and have certain monotonicity properties. If X is even strongly subadditive, we derive an a.e. limit theorem which extends Tempel'man's (1972) multiparameter pointwise ergodic theorem in the same way as Kingman's (1968) subadditive ergodic theorem extends Birkhoff's ergodic theorem (here, X is not supposed to have any monotonicity properties). We also point out how the results obtained can be used to arrive at analogous results for multiparameter random sets.

Suggested Citation

  • Schürger, Klaus, 1988. "Almost subadditive multiparameter ergodic theorems," Stochastic Processes and their Applications, Elsevier, vol. 29(2), pages 171-193, September.
    • Handle: RePEc:eee:spapps:v:29:y:1988:i:2:p:171-193
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0304-4149(88)90036-1
    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.

    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:spapps:v:29:y:1988:i:2:p:171-193. 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.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

    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.