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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations
TL;DR: In this article, it was shown that the renormalized perturbation expansion can be computed by Pade approximants, and that Levin's sequence transformation diverges and is not able to sum all the perturbations.
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Gauge Theory And Wild Ramification
TL;DR: In this paper, the gauge theory approach to the geometric Langlands program is extended to the case of wild ramification and the new ingredients that are required, relative to the tamely ramified case, are differential operators with irregular singularities, Stokes phenomena, isomonodromic deformation, and, from a physical point of view, new surface operators associated with higher order singularities.
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Normal random matrix ensemble as a growth problem
TL;DR: In this paper, the authors describe the spectral curve as a limit of a spectral curve which is canonically defined for models of finite matrices and interpret the evolution of the eigenvalue distribution as a growth problem, and describe the growth in terms of evolution of spectral curve.
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G-bundles, isomonodromy, and quantum Weyl groups
TL;DR: In this paper, the authors generalized Schlesinger's equations to the case of connections with arbitrary order poles and introduced new deformation parameters: one may vary the irregular type of the connections at each pole of order two or more, as well as the pole positions.