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Asymptotic expansions for ordinary differential equations
TLDR
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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Periods of Limit Mixed Hodge Structures
TL;DR: In this article, the authors explain some important results of Wilfred Schmid from his fundamental paper [30] in which he proves very general results which govern the behaviour of the periods of a smooth projective variety Xt as it degenerates to a singular variety.
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Tau-functions as highest weight vectors for algebra
TL;DR: In this article, the authors construct a highest weight module of the Lie algebra and show that these modules are quasifinite and give a complete description of reducible ones together with a formula for the singular vectors.
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An Existence Theorem for Tempered Solutions of D-Modules on Complex Curves
TL;DR: In this article, it was shown that S olt(M) is R-constructible in the sense of sheaves on a complex curve in any dimension, and that the natural morphism H(S ol(M)) −→ H(s ol(m)) is an isomorphism.
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Filling the gaps smoothly
Andrey Itkin,Alexander Lipton +1 more
TL;DR: The calibration of a local volatility models to a given set of option prices is a classical problem of mathematical finance and an extension of the approach proposed in LiptonSepp2011 is developed by i) replacing a piecewise constant local variance construction with a pieceswise linear one, and ii) allowing non-zero interest rates and dividend yields.
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Moduli Space of Unfolded Differential Linear Systems with an Irregular Singularity of Poincaré Rank 1
TL;DR: This paper determines the realizable moduli depending analytically on the parameter in dimensions 2 and 3 of the moduli space of generic unfoldings of linear differential systems with a nonresonant irregular singularity of Poincaré rank 1 for classification under analytic equivalence.