4 problems

Let $\chi(\beta)$ denote the susceptibility of the high-dimensional Ising model and let $\beta_c$ be its critical inverse temperature. Logarithmic susceptibility conjecture. Let…

Let $\chi^{\mathbb{T}}(z)$ be the torus susceptibility, let $z_c$ be the critical point, and let $V$ be the number of vertices in the torus. Critical-window susceptibility conjectu…

Truncated susceptibility conjecture. This quantity is finite for every $p_c<p\leq1$.

Fix a maximum degree $d$. Let $(G_n)_{n\geq1}$ be a sequence of finite connected graphs, with $G_n=(V_n,E_n)$, $|V_n|\to\infty$, and maximum degree at most $d$. The polylogarithmic…