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Reflected Brownian Motions in the KPZ Universality Class
Weiss, Thomas; Spohn, Herbert
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Description for Reflected Brownian Motions in the KPZ Universality Class
Paperback. Series: SpringerBriefs in Mathematical Physics. Num Pages: 118 pages, 4 black & white illustrations, biography. BIC Classification: PBT; PHS; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 7. Weight in Grams: 209.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
118
Condition
New
Series
SpringerBriefs in Mathematical Physics
Number of Pages
118
Place of Publication
Cham, Switzerland
ISBN
9783319494982
SKU
V9783319494982
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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