Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
We consider two models for directed polymers in spaceātime independent random media (the O'ConnellāYor semidiscrete directed polymer and the continuum directed random polymer) at positive temperature and prove their KPZ universality via asymptotic analysis of exact Fredholm determinant formulas for the Laplace transform of their partition functions. In particular, we ā¦