4 problems

Let $\chi$ be the fissility parameter, let $\chi_*$ be the bifurcation value, and let $\chi_4\approx0.904\pm0.001$. The Ren–Wei branch is the two-dimensional equilibrium branch eme…

Let $\mathsf A_2$ denote the triangular lattice in two dimensions, and let $V$ be a pair potential. Consider the corresponding two-body energy and its asymptotic energy per point f…

Watabiki's conjecture. The relation

Convergence conjecture. The flow exists for all times and converges to $\mathord{\phi_{\beta,k}}g_E$ for some $k>0$, uniformly on compact sets in the $C^m$-topology of metrics for…