2 problems

Let $e^{\rm Ab}(1)$ be the thermodynamic energy parameter defined by … where $G>0$, $K_L=\left[-\frac{L}{2},\frac{L}{2}\right]^2$, and $E^{\rm GP}(\mathcal{D},M)$ is the Neumann Gr…

Vorlatt's hexagonal-lattice conjecture. The minimum of $W$ over $\mathcal{A}_m$ is achieved for currents corresponding to a configuration of points in a perfect hexagonal lattice,…