Polymer pinning in a random medium as influence percolation

Abstract

In this article we discuss a set of geometric ideas which shed some light on the question of directed polymer pinning in the presence of bulk disorder. Differing from standard methods and techniques, we transform the problem to a particular dependent percolative system and relate the pinning transition to a percolation transition.

References in corpus (6)

• Exact scaling functions for one-dimensional stationary KPZ growth
• Statistical Self-Similarity of One-Dimensional Growth Processes
• Fluctuations of a one-dimensional polynuclear growth model in a half space
• Scale Invariance of the PNG Droplet and the Airy Process
• Queuing Transitions in the Asymmetric Simple Exclusion Process
• Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond

Cited by in corpus (2)

• Last Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem
• Directed polymers in a random environment with a defect line