Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


osu1321900008.pdf (944.64 KB)

ETD Abstract Container

Abstract Header

Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations

Golds, Jeffrey A.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1321900008

Abstract Details

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.

Recommended Citations

Citations

  • Golds, J. A. (1998). Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1321900008

    APA Style (7th edition)

  • Golds, Jeffrey. Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations. 1998. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1321900008.

    MLA Style (8th edition)

  • Golds, Jeffrey. "Estimation of the fractal dimension of selected classes of Julia sets using spectral radius calculations." Doctoral dissertation, Ohio State University, 1998. http://rave.ohiolink.edu/etdc/view?acc_num=osu1321900008

    Chicago Manual of Style (17th edition)

osu1321900008
327
© 1998, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.