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

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

Those are the complaints of a one-week foreign convention headquartered on asymptotic research and its functions. They include significant contributions facing - mathematical physics: PT symmetry, perturbative quantum box conception, WKB research, - neighborhood dynamics: parabolic platforms, small denominator questions, - new elements in mildew calculus, with similar combinatorial Hopf algebras and alertness to multizeta values, - a brand new relations of resurgent services on the topic of knot idea.

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Additional info 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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E´ CALLE, Les fonctions r´esurgentes, Tome II: “Les Fonctions R´esurgentes Appliqu´ees a` L’it´eration”, Publ. Math. Orsay, 81-06, Universit´e de Paris-Sud, Orsay, 1981. [19] P. FATOU, Substitutions analytiques et equations fonctionelles de deux variables, Ann. Sc. Ec. Norm. Sup. (1924), 67–142. [20] F. FAUVET, Private conversation. [21] D. M. G ROBMAN, Homeomorphism of systems of differential equations, Dokl. Akad. Nauk. USSR 128 (1959), 880–881. [22] D. M. G ROBMAN, Topological classiÀcation of neighbourhoods of a singularity in n-space, Math.

17] J. E´ CALLE, Les fonctions r´esurgentes, Tome I: “Les Alg´ebres de Fonctions R´esurgentes”, Publ. Math. Orsay, 81-05, Universit´e de Paris-Sud, Orsay, 1981. [18] J. E´ CALLE, Les fonctions r´esurgentes, Tome II: “Les Fonctions R´esurgentes Appliqu´ees a` L’it´eration”, Publ. Math. Orsay, 81-06, Universit´e de Paris-Sud, Orsay, 1981. [19] P. FATOU, Substitutions analytiques et equations fonctionelles de deux variables, Ann. Sc. Ec. Norm. Sup. (1924), 67–142. [20] F. FAUVET, Private conversation.

A: Math. Gen. 34 L391 (2001); ibid. 34, 5679 (2001). [8] Y. G OLDFARB , I. D EGANI , and D. J. TANNOR, J. Chem. Phys. 125, 231103 (2006); Y. G OLDFARB , and D. J. TANNOR, J. Chem. Phys. 127, 161101 (2007); Y. G OLDFARB , J. S CHIFF , and D. J. TAN NOR , J. Chem. Phys. 128, 164114 (2008). [9] C. D. YANG, Ann. Phys. 321, 2876 (2006); Chaos, Solitons and Fractals, 30, 342 (2006) and Modeling quantum harmonic oscillator in complex domain 33, 1073 (2007). [10] P. D OREY, C. D UNNING , and R. TATEO, J.

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