Hubbard tree

Robert P. Munafo, 1999 Feb 2.

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An Analytical Naming System for Julia sets (and consequentally, for points in the Mandelbrot set) based on the Julia set's critical orbit.

The Hubbard Tree is a graph (perhaps labeled and/or directed, there are different variations) whose structure is related to the dynamics of a Julia Set. There is a unique Hubbard Tree for each mu-atom and for each Misiurewicz point. It is possible to form a name from a Hubbard Tree by walking the nodes in a standard manner and listing their labels and other information in walk order.

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

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