Conjectured asymptotics for the correction integrals in the inverse Kasteleyn matrix
Let n=4mn=4mn=4m, 0<a<10<a<10<a<1, and take x=(x1,x2)∈Wε1x=(x_1,x_2)\in\mathtt{W}_{\varepsilon_1}x=(x1,x2)∈Wε1 and y=(y1,y2)∈Bε2y=(y_1,y_2)\in\mathtt{B}_{\varepsilon_2}y=(y1,y2)∈Bε2 with ε1,ε2∈0,1\varepsilon_1,\varepsilon_2\in\\{0,1\\}ε1,ε2∈0,1. Let…
Conjectured mesoscopic asymptotics for the inverse Kasteleyn matrix
Let x∈Wε1x \in \mathtt{W}_{\varepsilon_1}x∈Wε1 and y∈Bε2y \in \mathtt{B}_{\varepsilon_2}y∈Bε2 with ε1,ε2∈0,1\varepsilon_1,\varepsilon_2 \in \\{0,1\\}ε1,ε2∈0,1. Let K0(α)K_0(\alpha)K0(α) and K1(α)K_1(\alpha)K1(α) denote modified…