Download Asymptotics in Dynamics, Geometry and PDEs; Generalized by Ovidiu Costin, Frédéric Fauvet, Frédéric Menous, David PDF

By Ovidiu Costin, Frédéric Fauvet, Frédéric Menous, David Sauzin

Those are the lawsuits of a one-week overseas convention founded on asymptotic research and its functions. They comprise significant contributions facing - mathematical physics: PT symmetry, perturbative quantum box idea, WKB research, - neighborhood dynamics: parabolic platforms, small denominator questions, - new points in mold calculus, with comparable combinatorial Hopf algebras and alertness to multizeta values, - a brand new relations of resurgent services relating to knot idea.

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Extra resources for Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation: Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. I ... of the Scuola Normale Superiore / CRM Series)

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A BATE , F. B RACCI and F. TOVENA, Index theorems for holomorphic self-maps, Ann. of Math. 159 (2) (2004), 819–864. [4] M. A BATE , F. B RACCI , and F. T OVENA , Index theorems for holomorphic maps and foliations, Indiana Univ. Math. J. 57 (2008), 2999–3048. [5] M. A BATE , F. B RACCI and F. T OVENA , Embeddings of submanifolds and normal bundles, Adv. Math. 220 (2009), 620–656. [6] M. A BATE and F. 3485 (2009). [7] V. I. A RNOLD, “Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, 1983.

7 Since information about j # immediately translates into information about j, and vice versa. 41 Power series with sum-product Taylor coefficients and their resurgence algebra Gates of type 1: original generators. e. through a SP series, relative to any base point x 0 of our choosing. Provided we remove the corresponding ingress factor, we shall always arrive at the same inner algebra. Gates of type 2: outer generators. e. through the mechanism of the nine-link chain of Section 5, again relative to any base point.

1 Bernoulli numbers and polynomials . . . . 2 Resurgence of the Gamma function . . . . 3 Monomial/binomial/exponential factors . . . 4 Resummability of the total ingress factor . . 5 Parity relations . . . . . . . . . 4 Inner generators . . . . . . . . . . . 1 Some heuristics . . . . . . . . . 2 The long chain behind nir//mir . . . . . 3 The nir transform . . . . . . . . . 4 The reciprocation transform . . . . . . 5 The mir transform .

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