5 problems

Let the models in the first two columns of Table 3, namely Families I and II, be the classified genus-1 isoradial Ising models, with parameter $k$. Criticality conjecture. All mode…

Let $k\in[0,1)$, and consider the conductances assigned to edges and masses assigned to vertices by Equations … in the rooted spanning forest model. Complete-parametrization conjec…

If there were an infinite number of directions, so that the graph is non-quasicrystalline, the Green function would still exponentially decay to $0$. Asymptotic Green-function conj…

Universality conjecture. The methods of the cited work may be extended to obtain universality for the random-cluster model on isoradial graphs.

Let $G$ be an isoradial graph with the bounded-angles property, let $k\in\mathbb{N}$, and let $\sigma\in\\{0,1\\}^k$. For a translated annulus $\mathcal{A}^u(N,n)$ centred at $u$,…