3 problems

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…

Let ${\mathcal{S}}$ be one of the 19 small-step lattice-path models with finite non-zero orbit sum, and consider its centrally weighted walk model. Let $Q(1,1;t)$ be the correspond…

The quintic kernel is defined by … where the $z$- and $\tilde z$-integration paths are appropriate subpaths of the paths shown in the source figure, with the indicated orientation.…