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The Polynomials Associated with a Julia Set
Author(s) -
Steinmetz N.,
Schmidt W.
Publication year - 1995
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/27.3.239
Subject(s) - mathematics , julia set , set (abstract data type) , combinatorics , symmetry (geometry) , pure mathematics , algebra over a field , discrete mathematics , geometry , computer science , programming language
We prove that, with two exceptions, the set of polynomials with Julia set J has the form {σ p n : n ∈N,σ∈Σ} where p is one of these polynomials and Σ is the symmetry group of J . The exceptions occur when J is a circle or a straight line segment.