Asymptotics in Dynamics, Geometry and PDEs; Generalized by Christian Bogner, Stefan Weinzierl (auth.), Ovidiu Costin,

By Christian Bogner, Stefan Weinzierl (auth.), Ovidiu Costin, Frédéric Fauvet, Frédéric Menous, David Sauzin (eds.)

These are the lawsuits of a one-week foreign convention established on asymptotic research and its purposes. They include significant contributions facing: mathematical physics: PT symmetry, perturbative quantum box idea, WKB research, neighborhood dynamics: parabolic structures, small denominator questions, new facets in mold calculus, with similar combinatorial Hopf algebras and alertness to multizeta values, a brand new kinfolk of resurgent features concerning knot theory.

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Additional resources for Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol. II

Example text

4 What has already been achieved . . . . . 5 Looking ahead: what is within reach and what beckons from afar . . . . . . . . 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 .

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 . . . . . 5 Looking ahead: what is within reach and what beckons from afar . . . . . . . . Complements . . . .

L := (−1)l0 1 0 dtl ... 1) (α1 − t1 ) αi =0 1. 1 With some natural countable indexation {m}, {n}, not necessarily on N or Z. We recall that a set {αm } is a Q-prebasis (or ‘spanning subset’) of a Q-ring D if any α ∈ D is expressible as a finite linear combination of the αm ’s with rational coefficients. But the αm ’s need not be Q-independent. When they are, we say that {αm } is a Q-basis. 2 Also known as MZV, short for multiple zeta values. , sr ) 1 := n 1 >···>nr >0 −sr −n 1 1 n −s e1 . . er−nr 1 .

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