| 书目名称 | Reflected Brownian Motions in the KPZ Universality Class | | 编辑 | Thomas Weiss,Patrik Ferrari,Herbert Spohn | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | SpringerBriefs in Mathematical Physics | | 图书封面 |  | | 描述 | 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 modelonly. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics. | | 出版日期 | Book 2017 | | 关键词 | Kardar-Parisi-Zhang equation; stochastic PDE; Bethe Ansatz; Skorokhod construction; last passage percola | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-49499-9 | | isbn_softcover | 978-3-319-49498-2 | | isbn_ebook | 978-3-319-49499-9Series ISSN 2197-1757 Series E-ISSN 2197-1765 | | issn_series | 2197-1757 | | copyright | The Author(s) 2017 |
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发表于 2025-3-21 19:41:55
