Hidden Bibliographic Details
| Varying Form of Title: | Monodromy and resurgence
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| Other authors / contributors: | Sauzin, D., 1966- author.
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| ISBN: | 9783319287362
3319287362
9783319287355
3319287354
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| Digital file characteristics: | data file
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| Notes: | Includes bibliographical references and index.
Online resource; title from PDF title page (SpringerLink, viewed September 7, 2016).
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| Summary: | 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.
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| Other form: | Print version: Mitschi, C. (Claude). Divergent series, summability and resurgence. I, Monodromy and resurgence. 3319287354 9783319287355
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| Standard no.: | 10.1007/978-3-319-28736-2
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