Titlebook: Resurgence, Physics and Numbers; Frédéric Fauvet,Dominique Manchon,David Sauzin Conference proceedings 2017 Scuola Normale Superiore Pisa

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WKB and resurgence in the Mathieu equation, Superiore in Pisa, we explain the origin of resurgent trans-series in the Mathieu equation spectral problem, using uniform WKB and all-orders (exact) WKB. Exact quantization conditions naturally arise, and their expansion in the weak coupling regime produces resurgent trans-series expressions which

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Renormalised conical zeta values,eans of a generalisation of Connes and Kreimer’s Algebraic Birkhoff Factorisation. This paper serves as a motivation for and an application of this generalised renormalisation scheme. The latter also yields an Euler-Maclaurin formula on rational convex polyhedral lattice cones which relates exponent

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绕着哥哥问

2239-1460 tical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues. 978-88-7642-612-4978-88-7642-613-1Series ISSN 2239-1460 Series E-ISSN 2532-1668

微枝末节

,Combinatorics of Poincaré’s and Schröder’s equations,la. Finally these calculations are interpreted in terms of the group of the operad of Stasheff polytopes, and are related to Ecalle’s arborified expansion by means of morphisms between various Hopf algebras of trees.

烦人

Asymptotics, ambiguities and resurgence,ion, cancellation of ambiguities in the so-called Stokes directions, and more generally the study of analytic properties of the respective transseries solutions. These notes will give a general overview of how to set-up resurgence in simple examples, and how to proceed towards exact analytic results.

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Nonlinear eigenvalue problems,e that the concept of a nonlinear eigenvalue problem extends to huge classes of nonlinear differential equations. Numerical and analytical results on the eigenvalue behavior for some of these new differential equations are presented.

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2239-1460 Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle‘s alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and

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