By Costin O., Fauvet F., Menous F., Sauzin D. (eds.)
This publication is dedicated to the mathematical and numerical research of the inverse scattering challenge for acoustic and electromagnetic waves. the second one version comprises fabric on Newton’s strategy for the inverse drawback challenge, a sublime facts of strong point for the inverse medium challenge, a dialogue of the spectral thought of the a ways box operator and a style for selecting the aid of an inhomogeneous medium from a long way box info Feynman graphs in perturbative quantum box idea / Christian Bogner and Stefan Weinzierl -- The flexion constitution and dimorphy: flexion devices, singulators, turbines, and the enumeration of multizeta irreducibles / Jean Ecalle -- at the parametric resurgence for a undeniable singularly perturbed linear differential equation of moment order / Augustin Fruchard and Reinhard Schäfke -- On a Schrödinger equation with a merging pair of an easy pole and a straightforward turning aspect - Alien calculus of WKB suggestions via microlocal research / Shingo Kamimoto, Takahiro Kawai, Tatsuya Koike and Yoshitsugu Takei -- at the turning aspect challenge for instanton-type recommendations of Painlevé equations / Yoshitsugu Takei
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Additional resources for Asymptotics in dynamics, geometry and PDEs; Generalized Borel Summation. / vol. II
4 Straight symmetries and subsymmetries . . 5 Main subalgebras . . . . . . . . 6 Main subgroups . . . . . . . . 7 The dimorphic algebra ARI al/al ⊂ ARI al/al . 8 The dimorphic group GARI as/as ⊂ GARI as/as 3 Flexion units and twisted symmetries . . . . . 1 The free monogenous flexion algebra Flex(E) O. ), Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II, © Scuola Normale Superiore Pisa 2011 . . . . . . . . . . . . . . . . . .
Canonical irreducibles and perinomal algebra . . . 1 The general scheme . . . . . . . . 2 Arithmetical criteria . . . . . . . . 3 Functional criteria . . . . . . . . 4 Notions of perinomal algebra . . . . . . 5 The all-encoding perinomal mould peri• . . . 6 A glimpse of perinomal splendour . . . . Provisional conclusion . . . . . . . . . 1 Arithmetical and functional dimorphy . . . 2 Moulds and bimoulds. The flexion structure . . 4 What has already been achieved .
Complements . . . . . . . . . . . . 1 Origin of the flexion structure . . . . . 2 From simple to double symmetries. The scramble transform . . . . . . . . . . 3 The bialternal tesselation bimould . . . . 7 Multizeta cleansing: elimination of odd degrees . 8 GARI se and the two separation lemmas . . . 9 Bisymmetrality of ess• : conceptual proof . . 10 Bisymmetrality of ess• : combinatorial proof . 12 Tables, index, references . . . . . . . . 1 Table 1: basis for Flex(E) .
Asymptotics in dynamics, geometry and PDEs; Generalized Borel Summation. / vol. II by Costin O., Fauvet F., Menous F., Sauzin D. (eds.)