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Analysis and stochastics of growth processes and interface models

Author: Peter Mörters
Publisher: Oxford : Oxford University Press, 2008.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book is a collection of topical survey articles by leading researchers in the fields of applied analysis and probability theory, working on the mathematical description of growth phenomena. Particular emphasis is on the interplay of the two fields, with articles by analysts being accessible for researchers in probability, and vice versa. Mathematical methods discussed in the book comprise large deviation  Read more...
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Genre/Form: Aufsatzsammlung
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Mörters
ISBN: 9780199239252 0199239258
OCLC Number: 209816562
Description: x, 336 pages : illustrations ; 24 cm
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.
Responsibility: edited by Peter Mörters [and others].

Abstract:

The combination of articles from the two fields of analysis and probability is highly unusual and makes this book an important resource for researchers working in all areas close to the interface of  Read more...

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