Moduli Spaces ofq-Connections and Gap Probabilities
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Publication:4560553
DOI10.1093/imrn/rnv366zbMath1404.33016arXiv1506.06718OpenAlexW2963828397MaRDI QIDQ4560553
Publication date: 12 December 2018
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.06718
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
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A \(3 \times 3\) Lax form for the \(q\)-Painlevé equation of type \(E_6\) ⋮ Asymptotic behaviours of \(q\)-orthogonal polynomials from a \(q\)-Riemann Hilbert problem ⋮ Restoring discrete Painlevé equations from an E8(1)-associated one ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I
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