4 problems

For $K\in\mathbf N$, let $Z^K:\mathbf Z^2_+\to\mathbf R^2=\mathbf C$ be the solution of the defining equations with parameter $\gamma=K$ and the stated initial conditions: … and…

Let $Z^{\gamma}$ be the discrete conformal map defined on the lattice, with parameter $\gamma$, and let $c(\gamma)$ be the constant appearing in its asymptotics. Asymptotic behavio…

Let $\Omega$ be a projectable cell complex, let $P:\Omega\to\mathbb{C}$ be its embedding into $\omega=P(\Omega)$, and let $z$ be a solution on $\mathbb{Z}^n_+$ of the cross-ratio e…

Let $Z^{\gamma}_{n,m}$ be the discrete map considered in the paper, with parameters $\gamma$ and $\alpha$, and let $c(\gamma)$ be the constant obtained from the asymptotics of…