Title Analysis and stochastics of growth processes and interface models / edited by Peter Mörters, Roger Moser, Mathew Penrose, Hartmut Schwetlick, and Johannes Zimmer

Published Oxford ; New York : Oxford University Press, 2008

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Description 1 online resource (x, 336 pages) : illustrations Contents Directed random growth models on the plane / Timo Seppäläinen -- The pleasures and pains of studying the two-type Richardson model / Maria Deijfen and Olle Häggström -- Ballistic phase of self-interacting random walks / Dmitry Ioffe and Yvan Velenik -- Stochastic homogenization and energy of infinitie sets of points / Xavier Blanc -- Validity and non-validity of propagation of chaos / Karsten Matthies and Florian Theil -- Applications of the lace expansion to statistical-mechanical models / Akira Sakai -- Large deviations for empirical cycle counts of integer partitions and their relation to systems of Bosons / Stefan Adams -- Interacting Brownian motions and the Gross-Pitaevskii formula / Stefan Adams and Wolfgang König -- A short introduction to Anderson localization / Dirk Hundertmark -- Effective theories for Ostwald ripening / Barbara Niethammer -- Switching paths for Ising models with long-range interaction / Nicolas Dirr -- Nucleation and droplet growth as a stochastic process / Oliver Penrose -- On the stochastic Burgers equation with some applications to turbulence and astrophysics / A.D. Neate and A. Truman -- Liquid crystals and harmonic maps in polyhedral domains / Apala Majumdar, Jonathan Robbins, and Maxim Zyskin Summary This is a collection of topical survey articles by researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is given to the interplay of the usually separate fields of applied analysis and probability theory Analysis Interface models Stochastics Bibliography Includes bibliographical references and index Notes Print version record Subject Growth -- Mathematical models Stochastic analysis. Numerical analysis. MATHEMATICS -- Probability & Statistics -- Stochastic Processes. Growth -- Mathematical models Numerical analysis Stochastic analysis Form Electronic book Author Mörters, Peter, editor Moser, Roger, editor Penrose, Mathew, editor Schwetlick, Hartmut, editor Zimmer, Johannes, editor ISBN 9780191553592 019155359X 9780191716911 019171691X

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