Fatou set

noun

A set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function.

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Meanings

nounFatou set (plural Fatou sets)

plural Fatou sets

  1. mathematicsA set that is complementary to the Julia set, and that informally consists of values with the property that all nearby values behave similarly under repeated iteration of the function.

Origin

Named after Pierre Fatou.

Full word history & related roots →

Translations

German Fatou-Menge
  • Fatou-Mengein complex dynamics, a set consisting of values generated by a mathematical function
Polish zbiór Fatou
  • zbiór Fatouin complex dynamics, a set consisting of values generated by a mathematical function
Cite this entry
APA

Fatou set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Fatou%20set

MLA

“Fatou set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Fatou%20set. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Fatou set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Fatou%20set.

Source: Fatou set on Wiktionary, CC BY-SA 4.0.