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Item Details
| Title:
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REFLECTED BROWNIAN MOTIONS IN THE KPZ UNIVERSALITY CLASS
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| By: |
Thomas Weiss, Herbert Spohn |
| Format: |
Paperback |
| List price:
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£49.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3319494988 |
| ISBN 13: |
9783319494982 |
| Publisher: |
SPRINGER INTERNATIONAL PUBLISHING AG |
| Pub. date: |
28 December, 2016 |
| Edition: |
1st ed. 2017 |
| Series: |
SpringerBriefs in Mathematical Physics 18 |
| Pages: |
118 |
| Synopsis: |
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. |
| Illustrations: |
4 Illustrations, black and white; VII, 118 p. 4 illus. |
| Publication: |
Switzerland |
| Imprint: |
Springer International Publishing AG |
| Returns: |
Returnable |
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