Interacting Stochastic Systems (eBook)

Table of Contents 5
Introduction 12
Stochastic Methods in Statistical Physics 20
Coarse-Graining Techniques for (Random) Kac Models 21
Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates 39
Some Jump Processes in Quantum Field Theory 65
Gibbs Measures on Brownian Paths: Theory and Applications 84
Spectral Theory for Nonstationary Random Potentials 112
A Survey of Rigorous Results on Random Schrödinger Operators for Amorphous Solids 127
The Parabolic Anderson Model 160
Random Spectral Distributions 187
Stochastic in Population Models 212
Renormalization and Universality for Multitype Population Models 213
Stochastic Insertion-Deletion Processes and Statistical Sequence Alignment 251
Branching Processes in Random Environment – A View on Critical and Subcritical Cases 272
Stochastic Analysis 295
Thin Points of Brownian Motion Intersection Local Times 296
Coupling, Regularity and Curvature 305
Two Mathematical Approaches to Stochastic Resonance 326
Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations 351
The Random Walk Representation for Interacting Diffusion Processes 374
Applications of Stochastic Analysis in Finance, Engineering and Algorithms 391
On Worst-Case Investment with Applications in Finance and Insurance Mathematics 392
Random Dynamical Systems Methods in Ship Stability: A Case Study 403
Analysis of Algorithms by the Contraction Method: Additive and Max- recursive Sequences 428