The endpoint distribution of directed polymers

@article{Bates2016TheED,
title={The endpoint distribution of directed polymers},
author={Erik Bates and Sourav Chatterjee},
journal={arXiv: Probability},
year={2016}
}
• Published 11 December 2016
• Mathematics
• arXiv: Probability
Probabilistic models of directed polymers in random environment have received considerable attention in recent years. Much of this attention has focused on integrable models. In this paper, we introduce some new computational tools that do not require integrability. We begin by defining a new kind of abstract limit object, called "partitioned subprobability measure", to describe the limits of endpoint distributions of directed polymers. Inspired by a recent work of Mukherjee and Varadhan on…
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