IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-05331-3_7.html
   My bibliography  Save this book chapter

Equidistribution of Affine Random Walks on Some Nilmanifolds

In: Analysis at Large

Author

Listed:
  • Weikun He

    (Korea Institute for Advanced Study)

  • Tsviqa Lakrec

    (The Hebrew University of Jerusalem, Einstein Institute of Mathematics)

  • Elon Lindenstrauss

    (The Hebrew University of Jerusalem, Einstein Institute of Mathematics)

Abstract

We study quantitative equidistribution in law of affine random walks on nilmanifolds, motivated by a result of Bourgain, Furman, Mozes, and the third named author on the torus. Under certain assumptions, we show that a failure to having fast equidistribution is due to a failure on a factor nilmanifold. Combined with equidistribution results on the torus, this leads to an equidistribution statement on some nilmanifolds such as Heisenberg nilmanifolds. In an appendix we strengthen results of de Saxce and the first named author regarding random walks on the torus by eliminating an assumption on Zariski connectedness of the acting group.

Suggested Citation

  • Weikun He & Tsviqa Lakrec & Elon Lindenstrauss, 2022. "Equidistribution of Affine Random Walks on Some Nilmanifolds," Springer Books, in: Artur Avila & Michael Th. Rassias & Yakov Sinai (ed.), Analysis at Large, pages 131-171, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-05331-3_7
    DOI: 10.1007/978-3-031-05331-3_7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-05331-3_7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.