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Probability in Complex Physical Systems

In Honour of Erwin Bolthausen and Jürgen Gärtner

  • Conference proceedings
  • © 2012

Overview

Editors:
  1. Jean-Dominique Deuschel

    1. Institute for Mathematics, TU Berlin, Berlin, Germany

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  2. Barbara Gentz

    1. Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

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  3. Wolfgang König

    1. for Applied Analysis and Stochastics, Weierstrass Institute Berlin, Berlin, Germany

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  4. Max von Renesse

    1. Institute for Mathematics, TU Berlin, Berlin, Germany

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  5. Michael Scheutzow

    1. Institute for Mathematics, TU Berlin, Berlin, Germany

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  6. Uwe Schmock

    1. Institute for Mathematical, Methods in Economics, Vienna University of Technology, Vienna, Austria

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  • With contributions by international experts
  • Introduces new concepts
  • Includes a stimulating mixture of research articles and exclusive surveys on active research fields
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 11)

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Table of contents (20 papers)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Laudatio: The Mathematical Work of Jürgen Gärtner

    1. Laudatio: The Mathematical Work of Jürgen Gärtner

      • Frank den Hollander
      Pages 1-10

  3. The Parabolic Anderson Model

    1. Front Matter

      Pages 11-11
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    2. The Parabolic Anderson Model with Long Range Basic Hamiltonian and Weibull Type Random Potential

      • Stanislav Molchanov, Hao Zhang
      Pages 13-31

    3. Parabolic Anderson Model with Voter Catalysts: Dichotomy in the Behavior of Lyapunov Exponents

      • Grégory Maillard, Thomas Mountford, Samuel Schöpfer
      Pages 33-68

    4. Precise Asymptotics for the Parabolic Anderson Model with a Moving Catalyst or Trap

      • Adrian Schnitzler, Tilman Wolff
      Pages 69-89

    5. Parabolic Anderson Model with a Finite Number of Moving Catalysts

      • Fabienne Castell, Onur Gün, Grégory Maillard
      Pages 91-117

    6. Survival Probability of a Random Walk Among a Poisson System of Moving Traps

      • Alexander Drewitz, Jürgen Gärtner, Alejandro F. Ramírez, Rongfeng Sun
      Pages 119-158

    7. Quenched Lyapunov Exponent for the Parabolic Anderson Model in a Dynamic Random Environment

      • Jürgen Gärtner, Frank den Hollander, Grégory Maillard
      Pages 159-193

    8. Asymptotic Shape and Propagation of Fronts for Growth Models in Dynamic Random Environment

      • Harry Kesten, Alejandro F. Ramı́rez, Vladas Sidoravicius
      Pages 195-223

    9. The Parabolic Anderson Model with Acceleration and Deceleration

      • Wolfgang König, Sylvia Schmidt
      Pages 225-245

    10. A Scaling Limit Theorem for the Parabolic Anderson Model with Exponential Potential

      • Hubert Lacoin, Peter Mörters
      Pages 247-272

  4. Self-Interacting Random Walks and Polymers

    1. Front Matter

      Pages 273-273
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    2. The Strong Interaction Limit of Continuous-Time Weakly Self-Avoiding Walk

      • David C. Brydges, Antoine Dahlqvist, Gordon Slade
      Pages 275-287

    3. Copolymers at Selective Interfaces: Settled Issues and Open Problems

      • Francesco Caravenna, Giambattista Giacomin, Fabio Lucio Toninelli
      Pages 289-311

    4. Some Locally Self-Interacting Walks on the Integers

      • Anna Erschler, Bálint Tóth, Wendelin Werner
      Pages 313-338

    5. Stretched Polymers in Random Environment

      • Dmitry Ioffe, Yvan Velenik
      Pages 339-369

  5. Branching Processes

    1. Front Matter

      Pages 371-371
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    2. Multiscale Analysis: Fisher–Wright Diffusions with Rare Mutations and Selection, Logistic Branching System

      • Donald A. Dawson, Andreas Greven
      Pages 373-408

    3. Properties of States of Super-α-Stable Motion with Branching of Index 1 + β

      • Klaus Fleischmann, Leonid Mytnik, Vitali Wachtel
      Pages 409-421
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Keywords

About this book

Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.

Editors and Affiliations

  • Institute for Mathematics, TU Berlin, Berlin, Germany

    Jean-Dominique Deuschel, Max von Renesse, Michael Scheutzow

  • Faculty of Mathematics, University of Bielefeld, Bielefeld, Germany

    Barbara Gentz

  • for Applied Analysis and Stochastics, Weierstrass Institute Berlin, Berlin, Germany

    Wolfgang König

  • Institute for Mathematical, Methods in Economics, Vienna University of Technology, Vienna, Austria

    Uwe Schmock

Bibliographic Information

  • Book Title: Probability in Complex Physical Systems

  • Book Subtitle: In Honour of Erwin Bolthausen and Jürgen Gärtner

  • Editors: Jean-Dominique Deuschel, Barbara Gentz, Wolfgang König, Max von Renesse, Michael Scheutzow, Uwe Schmock

  • Series Title: Springer Proceedings in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-23811-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2012

  • Hardcover ISBN: 978-3-642-23810-9Published: 24 February 2012

  • Softcover ISBN: 978-3-642-43422-8Published: 13 April 2014

  • eBook ISBN: 978-3-642-23811-6Published: 23 April 2012

  • Series ISSN: 2190-5614

  • Series E-ISSN: 2190-5622

  • Edition Number: 1

  • Number of Pages: XX, 512

  • Topics: Probability Theory and Stochastic Processes, Statistics, general

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