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Author:   Thomas Weiss ,  Patrik Ferrari ,  Herbert Spohn
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   18
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   2.058kg
ISBN:  

9783319494982

ISBN 10:   3319494988
Pages:   118
Publication Date:   28 December 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Introduction.- One-sided reflected Brownian motions and related models.- Skorokhod construction.- Packed initial conditions.- Infinite particle systems.- Determinantal point processes.- Definition.- Fredholm determinants.- Correlation kernel.- Strategy for future proofs.-Airy processes.-Elementary Airy processes.- Crossover Processes.- Variational identities.- Gaussian fluctuations of the Airy_stat process.- Packed and Periodic initial conditions.- Packed initial conditions.- Periodic initial conditions.- Stationary initial conditions.- Poisson initial conditions.- Determinantal structure.- Asymptotic analysis.- Path-integral style formula.- Analytic continuation.- More general initial conditions and their asymptotics.- Half-Periodic initial conditions.- Half-Poisson initial conditions.- Poisson-Periodic initial conditions.- Attractiveness and a more general class of initial data.- Asymptotics along space-like paths and slow decorrelations.- References.

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