Divergent series, summability and resurgence
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 Fir…
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- Full title :Divergent series, summability and resurgence. / Eric Delabaere.
Summary
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.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Switzerland
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:xxii, 230 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:3319289993, 9783319289991
- oclc:ocn932096104
- LC Classification:QA3
- Dewey Decimal:515.243
Table of Contents
Some Elements about Ordinary Differential Equations Delabaere -- The First Painlevé Equation Delabaere -- Tritruncated Solutions For The First Painlevé Equation -- A Step Beyond Borel-Laplace Summability -- Transseries And Formal Integral For The First Painlevé Equation -- Truncated Solutions For The First Painlevé Equation -- Supplements To Resurgence Theory -- Resurgent Structure For The First Painlevé Equation.
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