3 problems

Let $L$ be the directed landscape, let $(t)=_{0,0;0,1}(t)$ be the directed-landscape geodesic location, and let $L(t)=L(0,0;(t),t)$ be its segment length. Let…

Let $h(t,x)$ be a height function for a model in the KPZ universality class, and let $c_1,c_2,c_3$ be model-dependent constants. Under the KPZ $1:2:3$ scaling, define … Let…

Let $\mathfrak{h}_0$ satisfy Assumption, and let $\mathcal{T}_\infty(\mathfrak{h})$ be the set of times at which the KPZ fixed point has non-unique maximizers. Density conjecture.…