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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Divergent Series, Summability and Resurgence III: Resurgent Methods and the First Painlevé Equation

Divergent Series, Summability and Resurgence III: Resurgent Methods and the First Painlevé Equation

Delabaere, Eric

Paperback

Series: Lecture Notes in Mathematics, Book 2155

General Mathematics

ISBN10: 3319289993
ISBN13: 9783319289991
Publisher: Springer Nature
Published: Jun 29 2016
Pages: 230
Weight: 0.79
Height: 0.53 Width: 6.14 Depth: 9.21
Language: English
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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