467 citations · 2k across the 86 of their papers we have counts for
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math-ph2010★ 16 cited
Generalized string equations for double Hurwitz numbers
Kanehisa Takasaki
The generating function of double Hurwitz numbers is known to become a tau function of the Toda hierarchy. The associated Lax and Orlov-Schulman operators turn out to satisfy a set…
math-ph2010
Non-degenerate solutions of universal Whitham hierarchy
Kanehisa Takasaki, Takashi Takebe, Lee Peng Teo
The notion of non-degenerate solutions for the dispersionless Toda hierarchy is generalized to the universal Whitham hierarchy of genus zero with marked points. These solutio…
math-ph2010★ 11 cited
KP and Toda tau functions in Bethe ansatz
Kanehisa Takasaki
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model…