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In mathematics, the Fatou conjecture, named after
Pierre Fatou Pierre Joseph Louis Fatou (28 February 1878 – 9 August 1929) was a French mathematician and astronomer. He is known for major contributions to several branches of analysis. The Fatou lemma and the Fatou set are named after him. Biography P ...
, states that a quadratic family of maps from the complex plane to itself is hyperbolic for an open dense set of parameters.


References

* Dynamical systems Conjectures {{math-stub