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On the Local-Global Conjecture for Combinatorial Period Lengths of Closed Billiards on the Regular Pentagon

Published 16 Sep 2024 in math.NT and math.DS | (2409.10682v1)

Abstract: We study the set of combinatorial lengths of asymmetric periodic trajectories on the regular pentagon, proving a density-one version of a conjecture of Davis-Lelievre.

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Authors (2)

  1. Alex Kontorovich 
  2. Xin Zhang 

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