arXiv:1812.03912 Abstract | arXiv Analytics

arXiv:1812.03912 [math.CO]Abstract References Reviews Resources

Asymptotics of lieanders with fixed composition sizes

Published 2018-12-10Version 1

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.

Categories: math.CO

Subjects: 05A16

Keywords: fixed composition sizes, rational numbers, polynomial asymptotics, lie algebras, arches tend

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