In mathematics, Fatou components are components of the Fatou set. They were named after Pierre Fatou. If f is a rational function f = P ( z ) Q ( z ) {\displaystyle...

0834.01. Fatou conjecture Fatou's theorem Fatou set Fatou–Lebesgue theorem (same as Fatou's lemma) Classification of Fatou components Fatou–Bieberbach...

Mathematical analysis of discontinuous points Classification of Fatou components Ratner classification theorem Classification of electromagnetic fields...

one of the possible cases of connected components in the Fatou set (the complementary set of the Julia set), according to Classification of Fatou components...

one year later, his carpet. By 1918, two French mathematicians, Pierre Fatou and Gaston Julia, though working independently, arrived essentially simultaneously...

conjecture: every component of the escaping set of an entire transcendental function is unbounded. Fatou conjecture that a quadratic family of maps from the...

Fatou set, the complement of the Julia set, where the dynamics is "tame". Namely, Dennis Sullivan showed that each connected component U of the Fatou...