Results 51 to 60 of about 327 (99)
Special Functions Of The Isomonodromy Type
, 1997 We introduce a new notion, a special function of the isomonodromy type, and show that most of the functions known in applied mathematics and mathematical physics as special functions belong to this type. This definition provides a unified approach to the
A. V. Kitaev
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G-bundles, isomonodromy and quantum Weyl groups
, 2001 First an `irregular Riemann-Hilbert correspondence' is established for meromorphic connections on principal G-bundles over a disc, where G is any connected complex reductive group. Secondly, in the case of poles of order two, isomonodromic deformations of such connections are considered and it is proved that the classical actions of quantum Weyl groups
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The isomonodromy approach to matric models in 2D quantum gravity
Communications in Mathematical Physics, 1992 The analysis performed in this article complements the isomonodromy approach, proposed by \textit{G. Moore} [NATO ASI Ser., Ser. B 262, 157-190 (1991)], to the general string equations that come from the matrix model in the continuous limit and is original by the fact that the isomonodromy technique is applied to investigate the double-scaling limit ...
Fokas, A. S. +2 more
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Isomonodromy equations, algebraic solutions and dynamics.
Équations d'isomonodromie, solutions algébriques et dynamique Une déformation isomonodromique d'une sphère épointée est une famille de connexions logarithmiques plates sur cette dernière ayant toutes, à conjugaison globale près, la même représentation de monodromie.
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Isomonodromy Equations on Algebraic Curves, Canonical Transformations and Whitham Equations
Moscow Mathematical Journal, 2002 The Hamiltonian theory of isomonodromy equations for meromorphic connections with irregular singularities on algebraic curves is constructed. An explicit formula for the symplectic structure on the space of monodromy and Stokes matrices is obtained. The Whitham equations for the isomonodromy equations are derived.
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, 1997 Canonical quantization of the isomonodromy solutions of equations integrable via the Inverse Scattering Transform leads to generalized Knizhnik-Zamolodchikov equations.
Kitaev, A.V. (Rossijskaya Akademiya Nauk, St. Petersburg (Russian Federation). Inst. Matematiki) +2 more
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Isomonodromy deformations with coalescing eigenvalues and applications – Będlewo 2018
, 2019 I review my talk at Bedlewo, dealing with a differential system depending on deformation parametrs, with a Fuchsian singularity at z=0, and an irregular one at z=infinity of Poincare' rank 1. The eigenvalues of the leading matrix at z=infinity may coalesce along a coalescence locus.
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Isomonodromy and Painlevé Type Equations, Case Studies
Symmetry, Integrability and Geometry: Methods and ApplicationsThere is an abundance of equations of Painlevé type besides the classical Painlevé equations. Classifications have been computed by the Japanese school. Here we consider PainlevPainlevé type equations induced by isomonodromic families of linear ODE's having at most ${z=0}$ and $z=\infty$ as singularities.
van der Put, Marius, Top, Jaap
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Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI. [PDF]
Proc Math Phys Eng Sci, 2018 Anselmo T +3 more
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Stokes Matrices for Frobenius Manifolds and the Painleve’ 6 Equation
, 2000 These notes are a review on the theory of Frobenius manifolds and its connection to problems of isomonodromy deformations and to Paianleve ...
Guzzetti, Davide
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