Moments of partition functions of 2D Gaussian polymers in the weak disorder regime -- II

Clément Cosco, Ofer Zeitouni

Let $W_N(\beta )={\mathrm{E}}_0\left[e^{{\sum }_{n=1}^N\beta \omega (n,S_n)-N{\beta }^2/2}\right]$ be the partition function of a two-dimensional directed polymer in a random environment, where $ω(i,x),…