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The Maximal Number of Transverse Self-Intersections of Geodesics ...

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iNum(W,"number");<br />

1<br />

> iNum(W,"graph");<br />

1.6<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

–1 –0.8 –0.4 0 0.2 0.4 0.6 0.8 1<br />

x<br />

References<br />

[DIW]<br />

Susan Dziadosz, Thomas Insel, Peter Wiles. <strong>Geodesics</strong> with Two <strong>Self</strong>-<strong>Intersections</strong><br />

on the Punctured Torus. Proceedings <strong>of</strong> the REU Program in Mathematics. Oregon<br />

State University. September 1994.<br />

[C] David J. Crisp. <strong>The</strong> Mark<strong>of</strong>f Spectrum and <strong>Geodesics</strong> on the Punctured Torus,<br />

PhD <strong>The</strong>ses. University <strong>of</strong> Adelaide, 1993.<br />

[CDGISW] D. Crisp, S. Dziadosz, D. Garity, T. Insel, T. Schmidt, and P. Wiles. Closed<br />

Curves and <strong>Geodesics</strong> with Two <strong>Self</strong>-<strong>Intersections</strong> on the Punctured Torus. Mh.<br />

Math. 125, 189-209 (1998).<br />

[BCK]<br />

MandeButler,JeanneCarton,EmilKraft. <strong>Geodesics</strong> with Three <strong>Intersections</strong> on<br />

the Punctured Torus. Proceedings <strong>of</strong> the REU Program in Mathematics. Oregon<br />

State University. September 1995.<br />

[CR] Bobbe Cooper and Eric Rowland. On Equivalent Words in the Free Group on<br />

Two Generators. Proceedings <strong>of</strong> the REU Program in Mathematics. Oregon State<br />

University. August 2002.<br />

[H]<br />

Kevin Hare. Fixed Point Iteration in Maple.<br />

http://www.cecm.sfu.ca/~kghare/numeric/fixed_point.html.<br />

Accessed 08/07/2002.<br />

24

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