3 problems

Anisotropic KPZ conjecture. If the Hessian matrix $D^2v(\rho)$ has two eigenvalues of the same sign, equivalently if $\det(D^2v(\rho))>0$, then

Let $h(x,t)$ be the height of a one-dimensional KPZ-class interface of size $L$, and let $a_n$, $b_n$, $a_v$, and $b_v$ denote the transient and stationary cumulant amplitudes and…

Let a zero-temperature directed-polymer model be represented as a growth model of an interface, and let its height function be properly rescaled. KPZ universality conjecture for he…