Lattès map
In mathematics, a Lattès map is a rational map f = ΘLΘ−1 from the complex sphere to itself such that Θ is a holomorphic map from a complex torus to the complex sphere and L is an affine map z → az + b from the complex torus to itself.
Lattès maps are named after French mathematician Samuel Lattès, who wrote about them in 1918.
References
- Lattès, S (1918), "Sur l'itération des substitutions rationnelles et les fonctions de Poincaré", Les Comptes rendus de l'Académie des sciences, 166: 26–28
- Milnor, John Willard (2006), "On Lattès maps", Dynamics on the Riemann sphere, Eur. Math. Soc., pp. 9–43, MR 2348953
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.