Antipode preserving cubic maps: The Fjord theorem: The
Date of Original Version
This note will study a family of cubic rational maps which carry antipodal points of the Riemann sphere to antipodal points. It focuses particularly on the fjords, which are part of the central hyperbolic component but stretch out to infinity. These serve to decompose the parameter plane into subsets, each of which is characterized by a corresponding rotation number.
Proceedings of the London Mathematical Society
Bonifant, Araceli, Xavier Buff, and John Milnor. "Antipode preserving cubic maps: The Fjord theorem: The." Proceedings of the London Mathematical Society 116, 3 (2018): 670-728. doi:10.1112/plms.12075.