IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v148y2022icp227-266.html
   My bibliography  Save this article

Asymptotic fluctuations of geometric q-TASEP, geometric q-PushTASEP and q-PushASEP

Author

Listed:
  • Vető, Bálint

Abstract

We investigate the asymptotic fluctuation of three interacting particle systems: the geometric q-TASEP, the geometric q-PushTASEP and the q-PushASEP. We prove that the rescaled particle position converges to the GUE Tracy–Widom distribution in the homogeneous case. If the jump rates of the first finitely many particles are perturbed in the first two models, we obtain that the limiting fluctuations are governed by the Baik–Ben Arous–Péché distribution and that of the top eigenvalue of finite GUE matrices.

Suggested Citation

  • Vető, Bálint, 2022. "Asymptotic fluctuations of geometric q-TASEP, geometric q-PushTASEP and q-PushASEP," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 227-266.
    • Handle: RePEc:eee:spapps:v:148:y:2022:i:c:p:227-266
    DOI: 10.1016/j.spa.2022.02.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304414922000436
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2022.02.007?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. Barraquand, Guillaume, 2015. "A phase transition for q-TASEP with a few slower particles," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2674-2699.
    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. Lee, Eunghyun & Wang, Dong, 2019. "Distributions of a particle’s position and their asymptotics in the q-deformed totally asymmetric zero range process with site dependent jumping rates," Stochastic Processes and their Applications, Elsevier, vol. 129(5), pages 1795-1828.
    2. Betea, D. & Ferrari, P.L. & Occelli, A., 2022. "The half-space Airy stat process," Stochastic Processes and their Applications, Elsevier, vol. 146(C), pages 207-263.

    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:spapps:v:148:y:2022:i:c:p:227-266. 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.