Isomonodromy deformations at an irregular singularity with coalescing eigenvalues [PDF]
Duke Mathematical Journal, 2019 84 pages, 41 ...
Cotti, Giordano +2 more
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Isomonodromy deformations. The Painlevé equations
, 2006 Athanassios Fokas +3 more
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Results on the extension of isomonodromy deformations to the case of a resonant irregular singularity [PDF]
, 2018 We explain some results of [G. Cotti, B. A. Dubrovin and D. Guzzetti, Isomonodromy deformations at an irregular singularity with coalescing eigenvalues, preprint (2017); arXiv:1706.04808.], discussed in our talk [G.
Giordano Cotti +3 more
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, 2023 The sixth Painlevé equation PVI is both the isomonodromy deformation condition of a 2-dimensional isomonodromic Fuchsian system and of a 3-dimensional irregular system.
Degano, Gabriele +3 more
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Heavenly metrics, hyper‐Lagrangians and Joyce structures
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
wiley +1 more source
Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]
, 2015 We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo +5 more
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Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]
, 2014 We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
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Representation Theory and Differential Equations : Proceedings of JMM Workshop on Representation Theory and Differential Equations,November 26-27,2016 Josai University [PDF]
, 2017 We describe the isomonodromy equations of Jimbo–Miwa–Ueno as completely integrable nonautonomous Hamiltonian systems using the isomonodromy tau ...
山川, 大亮
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Monodromy Approach to the Scaling Limits in Isomonodromy Systems [PDF]
Theoretical and Mathematical Physics, 2003 The isomonodromy deformation method is applied to the scaling limits in the linear NxN matrix equations with rational coefficients to obtain the deformation equations for the algebraic curves which describe the local behavior of the reduced versions for the relevant isomonodromy deformation equations.
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Projective Isomonodromy and Galois Groups
, 2010 13 pages; typo correctedIn this article we introduce the notion of projective isomonodromy, which is a special type of monodromy evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation.
Mitschi, Claude, Singer, Michael F.
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