On the localization regime of high-dimensional directed polymers in time-correlated random field
Probability
2024-12-20 v1
Abstract
This paper describes directed polymer on general time-correlated random field. Law of large numbers, existence and smoothness of limiting free energies are proved at all temperature. We also display the delocalized-localized transition, via separating techniques for entanglement of the random field.
Cite
@article{arxiv.2412.14712,
title = {On the localization regime of high-dimensional directed polymers in time-correlated random field},
author = {Jiaming Chen},
journal= {arXiv preprint arXiv:2412.14712},
year = {2024}
}
Comments
30 pages, 1 figure