2 papers
math.PR2025
A Polynomial Rate of Convergence for the Dirichlet Problem on Orthodiagonal Maps
David Pechersky
We extend recent work of Gurel-Gurevich--Jerison--Nachmias (2020) and Bou-Rabee--Gwynne (2024) by showing that as the mesh of our lattice tends to , we have a polynomial rate of…
math.CV2024
Orthodiagonal Maps, Tilings of Rectangles, and their Convergence to Conformal Maps
Ilia Binder, David Pechersky
A classic result of Brooks, Smith, Stone and Tutte associates to any finite planar network with distinguished source and sink vertices, a tiling of a rectangle by smaller subrectan…