Self intersections on a pair of pants
Diop.ElHadji Abdou Aziz, Gaye.Masseye

TL;DR
This paper uses coding methods to compute and bound the number of self-intersections of closed geodesics on a pair of pants, proving a conjecture and providing bounds for geodesics with near-maximal intersections.
Contribution
It introduces bounds for self-intersection numbers of geodesics on a pair of pants and proves a conjecture by Chas and Phillips using coding techniques.
Findings
Bounds established for self-intersection numbers.
Proof of Chas and Phillips' conjecture.
Bounds for geodesics near maximal self-intersections.
Abstract
In this paper1 , we use the coding developed by R. Bowen and C. Series to compute the number of self-intersections of a closed geodesic on a pair of pants. We give lower and upper bounds on the number of self-intersections of a closed geodesic on a pair of pants. We prove a conjecture of Moira Chas and Anthony Phillips in [4]. We get also bounds for the number of closed geodesics whose self-intersection number is very close to the maximal self-intersection number on a pair of pants
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematics and Applications · Advanced Combinatorial Mathematics
