2 papers
math.PR2026
Free energy and phase transition for 2D directed polymers with critical spatial correlations
Quentin Berger, Francesca Cottini
We study the two-dimensional directed polymer model in a Gaussian environment which is independent in time and spatially correlated, with covariances either summable or with…
math.PR2026
Sharp behavior of the free energy for the two-dimensional directed polymer model
Quentin Berger, Shuta Nakajima
We consider the directed polymer model on , in an i.i.d.\ random environment , focusing on the critical dimension . Our ma…