Divergent series, summability and resurgence: III, Resurgent methods and the first Painlevé equation
Author:
Series:
Lecture notes in mathematics volume 2155
Publisher:
Springer
Pub. Date:
2016
Language:
English
Description
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equation", which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
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Contributors:
ISBN:
9783319290003
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Grouping Information
Grouped Work ID | 08698915-2dc0-182f-33b1-e18d8a009936 |
---|---|
Grouping Title | divergent series summability and resurgence iii resurgent methods and the first painleve equation |
Grouping Author | eric delabaere |
Grouping Category | book |
Grouping Language | English (eng) |
Last Grouping Update | 2024-04-05 09:12:41AM |
Last Indexed | 2024-04-28 04:16:44AM |
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Delabaere, Éric
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Delabaere, Éric
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display_description
The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. The resurgent analysis of singularities is pushed all the way up to the so-called "bridge equation", which concentrates all information about the non-linear Stokes phenomenon at infinity of the First Painlevé equation. The third in a series of three, entitled Divergent Series, Summability and Resurgence, this volume is aimed at graduate students, mathematicians and theoretical physicists who are interested in divergent power series and related problems, such as the Stokes phenomenon. The prerequisites are a working knowledge of complex analysis at the first-year graduate level and of the theory of resurgence, as presented in volume 1.
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Colorado Mesa University Online
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9783319290003
publishDate
2016
publisher
Springer
recordtype
grouped_work
series
Lecture notes in mathematics
series_with_volume
Lecture notes in mathematics|2155
subject_facet
Divergent series
Painlevé equations
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Équations de Painlevé
Painlevé equations
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Équations de Painlevé
title_display
Divergent series, summability and resurgence. : III, Resurgent methods and the first Painlevé equation
title_full
Divergent series, summability and resurgence. III, Resurgent methods and the first Painlevé equation / Eric Delabaere
title_short
Divergent series, summability and resurgence
title_sub
III, Resurgent methods and the first Painlevé equation
topic_facet
Divergent series
Painlevé equations
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Équations de Painlevé
Painlevé equations
Sommabilité
Sumabilidad
Summability theory
Séries divergentes
Équations de Painlevé
Solr Details Tables
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