2 problems

For $u<0$, let $\mathbb{Q}^{u,t}_0$ be the point-to-stationary-measure half-space continuum directed random polymer measure, let $X_t$ be its endpoint displacement, and let…

Let $\{\omega_{\mathbf z}\}_{\mathbf z\in\mathbb Z^2}$ be i.i.d. weights on the integer lattice, and consider the geodesic maximizing the corresponding last-passage value from…