The $Z$-invariant massive Laplacian on isoradial graphs

Cédric Boutillier, Béatrice de Tilière, Kilian Raschel

We introduce a one-parameter family of massive Laplacian operators $({\Delta }^{m(k)}{)}_{k\in [0,1)}$ defined on isoradial graphs, involving elliptic functions. We prove an explicit formula…