Hubbard tree

Robert P. Munafo, 1999 Feb 2.

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.


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

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