• Corpus ID: 119325700

Asymptotics of lieanders with fixed composition sizes

  title={Asymptotics of lieanders with fixed composition sizes},
  author={Vincent Delecroix},
  journal={arXiv: Combinatorics},
  • V. Delecroix
  • Published 10 December 2018
  • Mathematics
  • arXiv: Combinatorics
Lieanders are special cases of meanders and first appeared in connection with Lie algebras. Using the results from the author with E. Goujard, P. Zograf and A. Zorich, we prove a polynomial asymptotics for the number of lieanders with fixed composition sizes as the number of arches tend to infinity. The coefficients of the asymptotics are rational numbers divided by an even power of pi. 

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  • E. T.
  • Mathematics
  • 1946
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