Rates of Convergence for the Planar Discrete Green's Function in Pacman Domains

Christian Benes

We obtain upper bounds for the rates of convergence for the simple random walk Green's function in the domains $D_{\alpha }=D_{\alpha }(n)=\{r{e}^{i\theta }\in \mathbb{C}:0<\theta <2\pi -\alpha ,0<r<2n\}-z_0,$ where…