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The conformal geometry of billiards
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http://hdl.handle.net/10027/7792
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| Title: | The conformal geometry of billiards |
| Author(s): | DeMarco, Laura G. |
| Subject(s): |
billiards
Riemann |
| Abstract: | This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and an SL2R action on the moduli spaces of these surfaces. We concentrate on the progress toward classification of "optimal" billiard tables, those with the simplest trajectory structure. |
| Issue Date: | 2011-01 |
| Publisher: | American Mathematical Society |
| Citation Info: | DeMarco, L. 2011. The Conformal Geometry of Billiards. Bulletin of the American Mathematical Society, 48(1): 33-52. DOI: 10.1090/S0273-0979-2010-01322-7. |
| Type: | Article |
| Description: | First published in Bulletin of the American Mathematical Society in 2011, published by the American Mathematical Society; DOI: 10.1090/S0273-0979-2010-01322-7 |
| URI: | http://hdl.handle.net/10027/7792 |
| ISSN: | 0273-0979 |
| Sponsor: | This research is supported by the National Science Foundation and the Sloan Foundation. |
| Date Available in INDIGO: | 2011-05-27 |
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