3 problems

Let the wall attraction in the half-space directed random polymer vary between a strong attractive-force regime, also called the subcritical or bound phase, and a weaker-attraction…

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…

Fix $u eq 0$ and let $Hu(t,0)$ denote the stationary half-space KPZ height at time $t$ and position $0$. Gaussian fluctuation conjecture. As $t$ tends to infinity, one should h…