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Interacting Stochastic Systems

  • Book
  • © 2005

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Editors:
  1. Jean-Dominique Deuschel

    1. Fakultät II, Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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  2. Andreas Greven

    1. Fachbereich Mathematik und Physik Mathematisches Institut, Universität Erlangen, Erlangen, Germany

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (20 chapters)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    • Jean-Dominique Deuschel, Andreas Greven
    Pages 1-8

  3. Stochastic Methods in Statistical Physics

    1. Coarse-Graining Techniques for (Random) Kac Models

      • Anton Bovier, Christof Külske
      Pages 11-28

    2. Euclidean Gibbs Measures of Quantum Crystals: Existence, Uniqueness and a Priori Estimates

      • Sergio Albeverio, Yuri Kondratiev, Tatiana Pasurek, Michael Röckner
      Pages 29-54

    3. Some Jump Processes in Quantum Field Theory

      • Roderich Tumulka, Hans-Otto Georgii
      Pages 55-73

    4. Gibbs Measures on Brownian Paths: Theory and Applications

      • Volker Betz, József Lőrinczi, Herbert Spohn
      Pages 75-102

    5. Spectral Theory for Nonstationary Random Potentials

      • Stefan Böcker, Werner Kirsch, Peter Stollmann
      Pages 103-117

    6. A Survey of Rigorous Results on Random Schrödinger Operators for Amorphous Solids

      • Hajo Leschke, Peter Müller, Simone Warzel
      Pages 119-151

    7. The Parabolic Anderson Model

      • Jürgen Gärtner, Wolfgang König
      Pages 153-179

    8. Random Spectral Distributions

      • Friedrich Götze, Franz Merkl
      Pages 181-205

  4. Stochastic in Population Models

    1. Renormalization and Universality for Multitype Population Models

      • Andreas Greven
      Pages 209-246

    2. Stochastic Insertion-Deletion Processes and Statistical Sequence Alignment

      • Dirk Metzler, Roland Fleißner, Anton Wakolbinger, Arndt von Haeseler
      Pages 247-267

    3. Branching Processes in Random Environment — A View on Critical and Subcritical Cases

      • Matthias Birkner, Jochen Geiger, Götz Kersting
      Pages 269-291

  5. Stochastic Analysis

    1. Thin Points of Brownian Motion Intersection Local Times

      • Achim Klenke
      Pages 295-303

    2. Coupling, Regularity and Curvature

      • Karl-Theodor Sturm
      Pages 305-325

    3. Two Mathematical Approaches to Stochastic Resonance

      • Samuel Herrmann, Peter Imkeller, Ilya Pavlyukevich
      Pages 327-351

    4. Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations

      • Igor Chueshov, Michael Scheutzow, Björn Schmalfuß
      Pages 353-375

    5. The Random Walk Representation for Interacting Diffusion Processes

      • Jean-Dominique Deuschel
      Pages 377-393

  6. Applications of Stochastic Analysis in Finance, Engineering and Algorithms

    1. On Worst-Case Investment with Applications in Finance and Insurance Mathematics

      • Ralf Korn, Olaf Menkens
      Pages 397-407

    2. Random Dynamical Systems Methods in Ship Stability: A Case Study

      • Ludwig Arnold, Igor Chueshov, Gunter Ochs
      Pages 409-433
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Keywords

Editors and Affiliations

  • Fakultät II, Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Jean-Dominique Deuschel

  • Fachbereich Mathematik und Physik Mathematisches Institut, Universität Erlangen, Erlangen, Germany

    Andreas Greven

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