Divergent series, summability and resurgence: I, Monodromy and resurgence
Author:
Series:
Lecture notes in mathematics volume 2153
Publisher:
Springer
Pub. Date:
2016
Language:
English
Description
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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Contributors:
ISBN:
9783319287362
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Grouping Information
Grouped Work ID | 5e69c93a-0219-464e-1f80-ba19d08b664b |
---|---|
Grouping Title | divergent series summability and resurgence i monodromy and resurgence |
Grouping Author | c mitschi |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 09:12:41AM |
Last Indexed | 2024-04-28 00:56:16AM |
Solr Fields
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auth_author2
Sauzin, D., 1966-
author
Mitschi, C. (Claude)
author2-role
Sauzin, D.,1966-author
SpringerLink (Online Service)
SpringerLink (Online Service)
author_display
Mitschi, C.
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CMU Electronic Access
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CMU Electronic Access
display_description
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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eBook
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5e69c93a-0219-464e-1f80-ba19d08b664b
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Non Fiction
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2 Months
Month
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Six Months
Year
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Six Months
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Colorado Mesa University Online
owning_location_opac
CMU Electronic Access
primary_isbn
9783319287362
publishDate
2016
publisher
Springer
recordtype
grouped_work
series
Lecture notes in mathematics
series_with_volume
Lecture notes in mathematics|2153
subject_facet
Divergent series
Groupes de monodromie
Grupos de monodromía
Monodromy groups
Séries divergentes
Groupes de monodromie
Grupos de monodromía
Monodromy groups
Séries divergentes
title_display
Divergent series, summability and resurgence. : I, Monodromy and resurgence
title_full
Divergent series, summability and resurgence. I, Monodromy and resurgence / Claude Mitschi, David Sauzin
title_short
Divergent series, summability and resurgence
title_sub
I, Monodromy and resurgence
topic_facet
Divergent series
Groupes de monodromie
Grupos de monodromía
Monodromy groups
Séries divergentes
Groupes de monodromie
Grupos de monodromía
Monodromy groups
Séries divergentes
Solr Details Tables
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