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4 produkter
4 produkter
Del 2153 - Lecture Notes in Mathematics
Divergent Series, Summability and Resurgence I
Monodromy and Resurgence
Häftad, Engelska, 2016
641 kr
Skickas inom 10-15 vardagar
Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups. The Riemann-Hilbert problem is discussed from Bolibrukh’s point of view. The second part expounds 1-summability and Ecalle’s theory of resurgence under fairly general conditions. It contains numerous examples and presents an analysis of the singularities in the Borel plane via “alien calculus”, which provides a full description of the Stokes phenomenon for linear or non-linear differential or difference equations. The first of a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists interested in geometric, algebraic or local analytic properties of dynamical systems. It includes useful exercises with solutions. The prerequisites are a working knowledge of elementary complex analysis and differential algebra.
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. I
Häftad, Engelska, 2011
303 kr
Skickas inom 10-15 vardagar
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with- mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis,- local dynamics: parabolic systems, small denominator questions, - new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values,- a new family of resurgent functions related to knot theory.
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation
Proceedings of the conference held in CRM Pisa, 12-16 October 2009, Vol. II
Häftad, Engelska, 2011
377 kr
Skickas inom 7-10 vardagar
These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with: mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, local dynamics: parabolic systems, small denominator questions, new aspects in mould calculus, with related combinatorial Hopf algebras and application to multizeta values, a new family of resurgent functions related to knot theory.
303 kr
Skickas inom 10-15 vardagar
This book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015.