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POUSSIERE FRACTALE [1 record]

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Record 1 1994-11-18

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

Fatou had shown in 1906 that for certain c's the point at infinity attracts all the complex plane, except for a Julia set that is very "thin" and forms what is now called a "fractal dust". A dust bounds no domain of any sort, hence cannot bound a domain of attraction. Therefore, the set I was seeking had to be a subset of the set of c's for which the Julia set is not a dust, hence is connected.

French

Domaine(s)
  • Mathématiques
  • Infographie

Spanish

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