7 problems

Expected-time asymptotics conjecture. The expectation satisfies

Let $b\geqslant2$ and consider the border aggregation model on a regular $b$-ary tree. Let $\xi_K$ denote the number of particles, or equivalently the corresponding growth time, ne…

Let DLA denote diffusion-limited aggregation and let the border aggregation model be the model obtained by growing inward from a prescribed boundary. On the square lattice…

Let $G=[-N,\dots,N]^2\subset\mathbb{Z}^2$ be the box graph with origin $v_0=(0,0)$, and use the disc model with sticky border … Let $\xi_N$ be the number of emitted particles until…

Let $D_1$ be the parameter region defined in the paper, and let the overlap equilibrium have the heavier species inside. Perturbations of class ${\mathcal{A}}$ are perturbations su…

Let $D_2$, $D_3$, and the indicated subset of $D_4$ be the parameter regions defined in the paper, and let the target equilibrium have the heavier species inside. Perturbations of…

Let $D_3$, $D_4$, and $D_5$ be the parameter regions defined in the paper, and let the target equilibrium have the lighter species inside. Perturbations of class ${\mathcal{A}}$ ar…