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Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations
Golds, Jeffrey A.

1998, Doctor of Philosophy, Ohio State University, Mathematics.

The purpose of this thesis is to give a method for approximating the Hausdorff dimension of certain Julia sets. This is done by approximating a Julia set with a set generated by a graph with contraction factors as weights on the edges. The graph chosen determines a matrix. We then find bounds on the Hausdorff dimension of the Julia via a spectral radius calculation.

Gerald Edgar (Advisor)
Williams Davis (Committee Member)
Bogdan Baishanski (Committee Member)
47 p.

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Golds, J. (1998). Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Golds, Jeffrey. "Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations." Electronic Thesis or Dissertation. Ohio State University, 1998. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Golds, Jeffrey "Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations." Electronic Thesis or Dissertation. Ohio State University, 1998. https://etd.ohiolink.edu/

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