Divergent Series, Summability and Resurgence III : Resurgent Methods and the First Painleve Equation PDF
by Eric Delabaere
Part of the Lecture Notes in Mathematics series
Description
The aim of this volume is two-fold. First, to show howthe resurgent methods introduced in volume 1 can be applied efficiently in anon-linear setting; to this end further properties of the resurgence theorymust be developed. Second, to analyze the fundamental example of the FirstPainlevé equation. The resurgent analysis of singularities is pushed all theway up to the so-called “bridge equation”, which concentrates allinformation about the non-linear Stokes phenomenon at infinity of the First Painlevéequation.
The third in a series of three, entitled Divergent Series, Summability andResurgence, this volume is aimed at graduate students, mathematicians andtheoretical physicists who are interested in divergent power series and relatedproblems, such as the Stokes phenomenon. The prerequisites are a workingknowledge of complex analysis at the first-year graduate level and of thetheory of resurgence, as presented in volume 1.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:28/06/2016
- Category:
- ISBN:9783319290003
Other Formats
- Paperback / softback from £36.79
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:28/06/2016
- Category:
- ISBN:9783319290003
