TY - UNPB
T1 - Convergence of square tilings to the Riemann map
AU - Georgakopoulos, Agelos
AU - Panagiotis, Christoforos
PY - 2020/3/11
Y1 - 2020/3/11
N2 - A well-known theorem of Rodin \& Sullivan, previously conjectured by Thurston, states that the circle packing of the intersection of a lattice with a simply connected planar domain Ω into the unit disc D converges to a Riemann map from Ω to D when the mesh size converges to 0. We prove the analogous statement when circle packings are replaced by the square tilings of Brooks et al
AB - A well-known theorem of Rodin \& Sullivan, previously conjectured by Thurston, states that the circle packing of the intersection of a lattice with a simply connected planar domain Ω into the unit disc D converges to a Riemann map from Ω to D when the mesh size converges to 0. We prove the analogous statement when circle packings are replaced by the square tilings of Brooks et al
U2 - 10.48550/arXiv.1910.06886
DO - 10.48550/arXiv.1910.06886
M3 - Preprint
BT - Convergence of square tilings to the Riemann map
PB - arXiv
ER -