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nlin.SI2026
Transition asymptotics for the real solutions of the sinh-Gordon Painlevé III equation
Kenta Miyahara, Maxim L. Yattselev
We consider solutions of the sinh-Gordon Painlevé III equation \[ u_{xx} + \frac{1}{x} u_x = \sinh u \] that are real on . They are parametrized by the monodromy parame…
math.CA2026
Reduction of Multiple Orthogonal Polynomials to Standard Orthogonal Polynomials
Roozbeh Gharakhloo, Maksim Kosmakov, Kenta Miyahara
In this article, we derive explicit formulae expressing multiple orthogonal polynomials in terms of standard orthogonal polynomials. We treat both the real-line and unit-circle set…
math-ph2026
Long-time asymptotics of the autocorrelation function of the transverse Ising chain at the critical magnetic field Revisited
Noah Hout, Kenta Miyahara, Dustin Newland +1
Following the work of Deift and Zhou (DOI:10.1007/978-1-4615-2474-8_15), we analyze the long-time asymptotics of the autocorrelation function of the transverse Ising chain at the c…