Overview

"The Research Network on ""Interacting stochastic systems of high complexity"" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences."

Full Product Details

Author:   Jean-Dominique Deuschel ,  Andreas Greven
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2005
Dimensions:   Width: 15.50cm , Height: 2.40cm , Length: 23.50cm
Weight:   0.706kg
ISBN:  

9783642061967

ISBN 10:   3642061966
Pages:   450
Publication Date:   14 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Stochastic Methods in Statistical Physics.- Coarse-Graining Techniques for (Random) Kac Models.- Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates.- Some Jump Processes in Quantum Field Theory.- Gibbs Measures on Brownian Paths: Theory and Applications.- Spectral Theory for Nonstationary Random Potentials.- A Survey of Rigorous Results on Random Schrödinger Operators for Amorphous Solids.- The Parabolic Anderson Model.- Random Spectral Distributions.- Stochastic in Population Models.- Renormalization and Universality for Multitype Population Models.- Stochastic Insertion-Deletion Processes and Statistical Sequence Alignment.- Branching Processes in Random Environment — A View on Critical and Subcritical Cases.- Stochastic Analysis.- Thin Points of Brownian Motion Intersection Local Times.- Coupling, Regularity and Curvature.- Two Mathematical Approaches to Stochastic Resonance.- Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations.- The Random Walk Representation for Interacting Diffusion Processes.- Applications of Stochastic Analysis in Finance, Engineering and Algorithms.- On Worst-Case Investment with Applications in Finance and Insurance Mathematics.- Random Dynamical Systems Methods in Ship Stability: A Case Study.- Analysis of Algorithms by the Contraction Method: Additive and Max-recursive Sequences.

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