known in the literature.

(8,6)(0,0) (0,0)[(11,0)[11]{}]{} (0,0)[(0,9)[9]{}]{} (3.3,3.8)(3.3,1.9)(3.3,0) (4.8,5.6)(4.8,3)(4.8,0) (6.8,3.0)(6.8,1.5)(6.8,0) (0,5.8)(2.5,5.8)(4.8,5.8) [(2,8)(3,2)(4,5) (4,5)(5,7)(6,4) (6,4)(7,2)(8,5) ]{} (2.2,-1.3)[$\Omega_\mathrm{meta}$]{} (4.55,-.9)[${\mathcal{C}}^\star$]{} (5.8,-1.3)[$\Omega_\mathrm{stab}$]{} (11.5,-.3)[$\xi$]{} (-1.3,9.5)[${\mathcal{H}}(\xi)$]{} (-1.4,5.6)[$\Gamma^\star$]{} (3.3,4) (4.8,5.75) (6.8,3.20)

Examples of applications {#literature}
------------------------

### Torus

If the underlying graph is a torus, then the computations needed to identify the critical set ${\mathcal{C}}^\star$ and the prefactor $K^\star$ simplify considerably. As shown in Bovier and den Hollander [@BdH15 Chapter 17], for Glauber dynamics on a finite box $\Lambda\subset{\mathbb{Z}}^2$ (wrapped around to form a torus), the set ${\mathcal{C}}^\star$ consists of all $\ell_c \times (\ell_c -1)$ quasi-squares (located anywhere in $\Lambda$ in any of the two orientations) with an extra vertex attached to one of its longest sides, where $\ell_c = \lceil \tfrac{2J}{h}\rceil$ (the upper integer part of $\tfrac{2J}{h}$). Hypothesis (H) has been verified, and the exponent and the prefactor equal $$\Gamma^\star = J(4\ell_c)-h(\ell_c(\ell_c-1)+1), \qquad
K^\star = \frac{1}{|\Lambda|}\,\frac{1}{\frac{4}{3}(2\ell_c-1)}.$$ Metastable behaviour occurs if and only if $\ell_c \in (1,\infty)$, and for reasons of parity it is assumed that $\tfrac{2J}{h} \notin {\mathbb{N}}$. Similar results apply for a torus in ${\mathbb{Z}}^3$.

### Hypercube

For Glauber dynamics on the $n$-dimensional hypercube, Jovanovski [@Jpr] gives a complete description of the set ${\mathcal{C}}^\star$ (under the assumption that $\tfrac{h}{J}
\neq\frac{a}{b}$ for some $a\in \mathbb{N}$ and 