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arXiv · 1703.02967

On 2-antiparallel encounters on factors of the hyperbolic plane

Huynh Minh Hien
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Abstract

In this paper, we consider the geodesic flow on factors of the hyperbolic plane. We prove that a periodic orbit including a 2-antiparallel encounter has a partner orbit. We construct the partner orbit and give an estimate for the action different between the orbit pair. Then we apply the result to reprove the accuracy of Sieber/Richter's prediction in [Sieber and Richter, 2001].

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Huynh Minh Hien. 2017-03-08. On 2-antiparallel encounters on factors of the hyperbolic plane. https://arxiv.org/abs/1703.02967

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