Fatou conjecture
Appearance
This article relies largely or entirely on a single source. (April 2024) |
In mathematics, the Fatou conjecture, named after Pierre Fatou, states that a quadratic family of maps from the complex plane to itself is hyperbolic for an open dense set of parameters.
References
[edit]- Świątek, Grzegorz; Graczyk, Jacek (1998), The real Fatou conjecture, Annals of Mathematics Studies, vol. 144, Princeton University Press, ISBN 978-0-691-00257-6, MR 1657075