Critical Point

Robert P. Munafo, 1997 Nov 20.

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The point 0+0i, in discussions of Julia sets, is called the critical point. The orbit of that point is called the critical orbit and tells whether the Julia set is connected or is a Cantor set (also called a Fatou dust).

See also fundamental dichotomy.

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo.     Mu-ency index

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