Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016

Directed polymers in random environments : École d'été de probabilités de Saint-Flour, XLVI-2016 /

Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatiall...

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Bibliographic Details
Main Author: Comets, Francis (Author)
Corporate Author: Ecole d'été de probabilités de Saint-Flour
Format: Conference Proceeding Book
Language:English
Published: Cham, Switzerland : Springer, [2017]
Series:Lecture notes in mathematics (Springer-Verlag) 2175.
Lecture notes in mathematics (Springer-Verlag). École d'été de probabilités de Saint-Flour.
Subjects:
Random walks (Mathematics)
Martingales (Mathematics)
Table of Contents:
  • Introduction
  • Thermodynamics and Phase Transition
  • The Martingale Approach and the L 2 Region
  • Lattice Versus Tree
  • Semimartingale Approach and Localization Transition
  • The Localized Phase
  • Log-Gamma Polymer Model
  • Kardar-Parisi-Zhang Equation and Universality
  • Variational Formulas.

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