4 problems

Let $Q$ be the matrix determining the slope dependence in the two-dimensional critical anisotropic KPZ equation, and let $\mathrm{D}_{\mathrm{bulk}}(t)$ denote its bulk diffusivity…

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

Consider a $(2+1)$-dimensional growth model with characteristic lines determined by the Hamilton–Jacobi equation governing its macroscopic height profile. Let height fluctuations a…

Let $v(\cdot)$ be the speed function of a reasonable $(2+1)$-dimensional growth model, and let $H_\rho$ be the Hessian of $v(\cdot)$ computed at the slope $\rho$. Write $\alpha$ fo…