Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity
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Publication:5226435
DOI10.1142/S2010326318400038zbMath1425.34109OpenAlexW2792970613MaRDI QIDQ5226435
Giordano Cotti, Davide Guzzetti
Publication date: 31 July 2019
Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s2010326318400038
Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)
Related Items (7)
Integrable deformations and degenerations of some irregular singularities ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Riemann–Hilbert–Birkhoff inverse problem for semisimple flat F$F$‐manifolds and convergence of oriented associativity potentials ⋮ Quantum Differential Equations and Helices ⋮ Isomonodromic Laplace transform with coalescing eigenvalues and confluence of Fuchsian singularities ⋮ Degenerate Riemann-Hilbert-Birkhoff problems, semisimplicity, and convergence of WDVV-potentials ⋮ Isomonodromic deformations along a stratum of the coalescence locus
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