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On the crystal limit of the q-difference sixth Painlevé equation (2408.07963v2)
Published 15 Aug 2024 in nlin.SI, math-ph, and math.MP
Abstract: We consider the Riemann-Hilbert correspondence associated with the $q$-difference sixth Painlev\'e equation in the crystal limit, i.e. $q\rightarrow 0$, and show two main results. First, the limit of this generically highly transcendental mapping is shown to exist. Second, we show that the limiting map is bi-rational and describe it explicitly.
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