36 citations · 154 across the 18 of their papers we have counts for
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math-ph2014★ 11 cited
Painlev'e 2 equation with arbitrary monodromy parameter, topological recursion and determinantal formulas
Kohei Iwaki, Olivier Marchal
The goal of this article is to prove that the determinantal formulas of the Painlev'e 2 system identify with the correlation functions computed from the topological recursion on th…
math.CA2014★ 36 cited
Exact WKB analysis and cluster algebras II: Simple poles, orbifold points, and generalized cluster algebras
Kohei Iwaki, Tomoki Nakanishi
This is a continuation of developing mutation theory in exact WKB analysis using the framework of cluster algebras. Here we study the Schrodinger equation on a compact Riemann surf…
math.CA2014★ 8 cited
Exact WKB analysis and cluster algebras
Kohei Iwaki, Tomoki Nakanishi
We develop the mutation theory in the exact WKB analysis using the framework of cluster algebras. Under a continuous deformation of the potential of the Schrödinger equation on a c…