On large genus asymptotics of certain Hurwitz numbers
Xiang Li
TL;DR
This paper investigates the asymptotic behavior of specific Hurwitz numbers for large genus, revealing structural insights based on the value of central characters on transpositions.
Contribution
It introduces a new approach to analyze the large genus asymptotics of Hurwitz numbers using central character values.
Findings
Derived asymptotic formulas for Hurwitz numbers at large genus
Identified structural patterns related to central characters
Provided new theoretical insights into Hurwitz number behavior
Abstract
In this paper, based on the value of central character on the transposition, we find structure and large genus asymptotics of certain Hurwitz numbers.
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Taxonomy
TopicsMeromorphic and Entire Functions · Advanced Mathematical Identities · Advanced Mathematical Theories and Applications