Reflected Brownian Motions in the KPZ Universality Class

• Main Authors: Weiss, Thomas (Author), Ferrari, Patrik (Author), Spohn, Herbert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: SpringerBriefs in Mathematical Physics, 18
• Subjects: Physics.; Probabilities.; Mathematical physics.; Statistical Physics and Dynamical Systems.; Mathematical Physics.; Probability Theory and Stochastic Processes.

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, be...