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