Probability in Complex Physical Systems

In Honour of Erwin Bolthausen and Jürgen Gärtner

ISBN: 978-3-642-23810-9 (Print) 978-3-642-23811-6 (Online)

Table of contents (20 chapters)

  1. Front Matter

    Pages i-xix

  2. Laudatio: The Mathematical Work of Jürgen Gärtner

    1. No Access

      Book Chapter

      Pages 1-10

      Laudatio: The Mathematical Work of Jürgen Gärtner

  3. The Parabolic Anderson Model

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-31

      The Parabolic Anderson Model with Long Range Basic Hamiltonian and Weibull Type Random Potential

    3. No Access

      Book Chapter

      Pages 33-68

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

    4. No Access

      Book Chapter

      Pages 69-89

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

    5. No Access

      Book Chapter

      Pages 91-117

      Parabolic Anderson Model with a Finite Number of Moving Catalysts

    6. No Access

      Book Chapter

      Pages 119-158

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

    7. No Access

      Book Chapter

      Pages 159-193

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

    8. No Access

      Book Chapter

      Pages 195-223

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

    9. No Access

      Book Chapter

      Pages 225-245

      The Parabolic Anderson Model with Acceleration and Deceleration

    10. No Access

      Book Chapter

      Pages 247-272

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

  4. Self-Interacting Random Walks and Polymers

    1. Front Matter

      Pages 273-273

    2. No Access

      Book Chapter

      Pages 275-287

      The Strong Interaction Limit of Continuous-Time Weakly Self-Avoiding Walk

    3. No Access

      Book Chapter

      Pages 289-311

      Copolymers at Selective Interfaces: Settled Issues and Open Problems

    4. No Access

      Book Chapter

      Pages 313-338

      Some Locally Self-Interacting Walks on the Integers

    5. No Access

      Book Chapter

      Pages 339-369

      Stretched Polymers in Random Environment

  5. Branching Processes

    1. Front Matter

      Pages 371-371

    2. No Access

      Book Chapter

      Pages 373-408

      Multiscale Analysis: Fisher–Wright Diffusions with Rare Mutations and Selection, Logistic Branching System

    3. No Access

      Book Chapter

      Pages 409-421

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

  6. Miscellaneous Topics in Statistical Mechanics

    1. Front Matter

      Pages 423-423

    2. No Access

      Book Chapter

      Pages 425-442

      A Quenched Large Deviation Principle and a Parisi Formula for a Perceptron Version of the GREM

    3. No Access

      Book Chapter

      Pages 443-462

      Metastability: From Mean Field Models to SPDEs

    4. No Access

      Book Chapter

      Pages 463-490

      Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

    5. No Access

      Book Chapter

      Pages 491-512

      Statistical Mechanics on Isoradial Graphs