Reflected Brownian motions in the KPZ universality class. (2017)

• Record Type: Book
• Further Information: Note: Thomas Weiss, Patrik Ferrari, Herbert Spohn.
• Authors: Weiss, Thomas; Ferrari, Patrik; Spohn, Herbert
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 519.2/33; Physics; Brownian motion processes; MATHEMATICS -- Applied; Brownian motion processes; Physics; Statistical Physics and Dynamical Systems; Mathematical Physics; Probability Theory and Stochastic Processes; Science -- Mathematical Physics; Mathematics -- Probability & Statistics -- General; Mathematical physics; Probability & statistics; Statistical physics; Distribution (Probability theory); Statistical physics; Electronic books
• Languages: English
• ISBNs: 9783319494999; 3319494996
• Related ISBNs: 9783319494982; 3319494988
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed December 22, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.