IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v124y2014i5p1910-1941.html
   My bibliography  Save this article

Representation of Gaussian isotropic spin random fields

Author

Listed:
  • Baldi, Paolo
  • Rossi, Maurizia

Abstract

We develop a technique for the construction of random fields on algebraic structures. We deal with two general situations: random fields on homogeneous spaces of a compact group and in the spin line bundles of the 2-sphere. In particular, every complex Gaussian isotropic spin random field can be represented in this way. Our construction extends P. Lévy’s original idea for the spherical Brownian motion.

Suggested Citation

  • Baldi, Paolo & Rossi, Maurizia, 2014. "Representation of Gaussian isotropic spin random fields," Stochastic Processes and their Applications, Elsevier, vol. 124(5), pages 1910-1941.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:5:p:1910-1941
    DOI: 10.1016/j.spa.2014.01.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304414914000167
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2014.01.007?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.

    References listed on IDEAS

    as
    1. Baldi, Paolo & Marinucci, Domenico, 2007. "Some characterizations of the spherical harmonics coefficients for isotropic random fields," Statistics & Probability Letters, Elsevier, vol. 77(5), pages 490-496, March.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Chunsheng Ma & Anatoliy Malyarenko, 2020. "Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous Spaces," Journal of Theoretical Probability, Springer, vol. 33(1), pages 319-339, March.
    2. Cleanthous, Galatia & Georgiadis, Athanasios G. & Lang, Annika & Porcu, Emilio, 2020. "Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces," Stochastic Processes and their Applications, Elsevier, vol. 130(8), pages 4873-4891.

    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. Marinucci, Domenico & Peccati, Giovanni, 2008. "High-frequency asymptotics for subordinated stationary fields on an Abelian compact group," Stochastic Processes and their Applications, Elsevier, vol. 118(4), pages 585-613, April.
    2. Marinucci, D. & Peccati, G., 2010. "Representations of SO(3) and angular polyspectra," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 77-100, January.
    3. D’Ovidio, Mirko & Leonenko, Nikolai & Orsingher, Enzo, 2016. "Fractional spherical random fields," Statistics & Probability Letters, Elsevier, vol. 116(C), pages 146-156.
    4. Durastanti, Claudio & Geller, Daryl & Marinucci, Domenico, 2012. "Adaptive nonparametric regression on spin fiber bundles," Journal of Multivariate Analysis, Elsevier, vol. 104(1), pages 16-38, February.
    5. Bingham, Nicholas H. & Symons, Tasmin L., 2022. "Gaussian random fields on the sphere and sphere cross line," Stochastic Processes and their Applications, Elsevier, vol. 150(C), pages 788-801.

    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:124:y:2014:i:5:p:1910-1941. 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: 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.