20 citations · 51 across the 9 of their papers we have counts for
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math.DS2005
Pillowcases and quasimodular forms
Alex Eskin, Andrei Okounkov
We prove that natural generating functions for enumeration of branched coverings of the pillowcase orbifold are level 2 quasimodular forms. This gives a way to compute the volumes…
math.CO2005★ 4 cited
Random skew plane partitions and the Pearcey process
Andrei Okounkov, Nicolai Reshetikhin
We study random skew 3D partitions weighted by and, specifically, the asymptotics of local correlations near various points of the limit shape. We obtai…
math.RT2005★ 11 cited
A New Approach to the Representation Thoery of the Symmetric Groups. 2
A. M. Vershik, A. Yu. Okounkov
The new approach to the theory of complex representrations of the finite symmetric groups which based on the notions of Coxeter generators., Gelfand-Zetlin algebras, Hecke algebra,…