IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i3p642-655.html
   My bibliography  Save this article

Statistics in the p-model

Author

Listed:
  • Materassi, Massimo
  • Wernik, Andrzej W.
  • Yordanova, Emiliya

Abstract

The p-model is a mathematical construction largely applied in physics to construct intermittent distributions on a real interval and in general to study diadic branching processes (cascades). The model produces a hierarchy of 1d distributions u(n) with n=0,1,2,…, referred to as generations, that may be used to mimic natural irregular signals at different scales. Here we study the correlation between two p-model generations u(m) and u(n) analytically, as well as the skewness and flatness of the values u(n)(x) as depending on the generation indices m and n.

Suggested Citation

  • Materassi, Massimo & Wernik, Andrzej W. & Yordanova, Emiliya, 2006. "Statistics in the p-model," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 642-655.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:3:p:642-655
    DOI: 10.1016/j.chaos.2005.11.089
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905011914
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.11.089?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. El Naschie, M.S., 2005. "On a class of fuzzy Kähler-like manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 257-261.
    2. El Naschie, M.S., 2005. "Dead or alive: Desperately seeking Schrödinger’s cat," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 673-676.
    3. El Naschie, M.S., 2005. "‘t Hooft ultimate building blocks and space–time as an infinite dimensional set of transfinite discrete points," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 521-524.
    4. El Naschie, M.S., 2005. "A guide to the mathematics of E-infinity Cantorian spacetime theory," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 955-964.
    5. El Naschie, M.S., 2005. "Spinorial content of the standard model, a different look at super-symmetry and fuzzy E-infinity hyper Kähler," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 303-311.
    Full references (including those not matched with items on IDEAS)

    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. El Naschie, Mohamed Saladin, 2006. "The idealized quantum two-slit gedanken experiment revisited—Criticism and reinterpretation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 843-849.
    2. Al-Khawaja, Sameer, 2008. "Impulsive current-induced superconducting junction in spatially broken symmetry of fluxons," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 382-387.
    3. Marek-Crnjac, L., 2007. "The maximum number of elementary particles in a super symmetric extension of the standard model," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1631-1636.
    4. El Naschie, Mohamed Saladin, 2006. "Is gravity less fundamental than elementary particles theory? Critical remarks on holography and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 803-807.
    5. El Naschie, M.S., 2006. "Holographic dimensional reduction: Center manifold theorem and E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 816-822.
    6. Naschie, M.S. El, 2006. "Fractal black holes and information," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 23-35.
    7. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    8. Gutiérrez García, J. & de Prada Vicente, M.A., 2007. "Further results on L-valued filters," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 162-172.
    9. Sun, Lei & Cheng, Zhengxing & Huang, Yongdong, 2007. "Construction of trivariate biorthogonal compactly supported wavelets," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1412-1420.
    10. Azab Abd-Allah, M. & El-Saady, Kamal & Ghareeb, A., 2009. "Rough intuitionistic fuzzy subgroup," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2145-2153.
    11. ElOkaby, Ayman A., 2007. "A short review of the Higgs boson mass and E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 14-25.
    12. Huang, Yongdong & Cheng, Zhengxing, 2007. "Minimum-energy frames associated with refinable function of arbitrary integer dilation factor," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 503-515.
    13. Sergeyev, Yaroslav D., 2009. "Evaluating the exact infinitesimal values of area of Sierpinski’s carpet and volume of Menger’s sponge," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3042-3046.
    14. Chen, Qingjiang & Cheng, Zhengxing, 2007. "A study on compactly supported orthogonal vector-valued wavelets and wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 1024-1034.
    15. Qiu, Hua & Su, Weiyi, 2007. "3-Adic Cantor function on local fields and its p-adic derivative," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1625-1634.
    16. He, Ji-Huan, 2007. "E-Infinity theory and the Higgs field," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 782-786.
    17. Lael, Fatemeh & Nourouzi, Kourosh, 2008. "Some results on the IF-normed spaces," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 931-939.
    18. Mesón, Alejandro & Vericat, Fernando, 2009. "Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2353-2363.
    19. He, Ji-Huan, 2006. "Application of E-infinity theory to biology," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 285-289.
    20. Chen, Qingjiang & Cao, Huaixin & Shi, Zhi, 2009. "Construction and characterizations of orthogonal vector-valued multivariate wavelet packets," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1835-1844.

    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:chsofr:v:30:y:2006:i:3:p:642-655. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.