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Reflected Brownian Motions in the KPZ Universality Class

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Reflected Brownian Motions in the KPZ Universality Class
  • Forlagets pris kr. 499,95
  • Leveringstid 2-4 uger
  • Forventet levering 21-06-2018
Bog, paperback (kr. 374,95) (kr. 374,95)
  1. Beskrivelse

    Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. 1 Paperback 4 Illustrations, ... Læs mere

    Udgivelsesdato:
    28-12-2016
    Leveringstid:
    2-4 uger
    Bedømmelse:
    (0)
  2. Yderligere info
    Udgivelsesdato:
    28-12-2016
    Sprog:
    Engelsk
    ISBN13:
    9783319494982
    Vægt:
    209
    Højde:
    7
    Bredde:
    155
    Længde:
    235
    Nummer i serien:
    18
    Mærkat:
    Bog, paperback
    Format:
    Paperback
    Udgave:
    1st ed. 2017
    • Bibliotekernes beskrivelse

      This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single model only. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics.

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