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{\bf Edward A. Bender, Zhicheng Gao and L. Bruce Richmond}
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{\bf The Map Asymptotics Constant $t_g$}
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The constant $t_g$ appears in the asymptotic formulas for a variety of
rooted maps on the orientable surface of genus $g$.  Heretofore,
studying this constant has been difficult.  A new recursion derived by
Goulden and Jackson for rooted cubic maps provides a much simpler
recursion for $t_g$ that leads to estimates for its asymptotics.



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