3: Divergent Series, Summability And Resurgence Iii: Resurgent Methods And The First Painlevé Equation (lecture Notes In Mathematics)
by Eric Delabaere /
2016 / English / PDF
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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 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
The third in a series of three, entitledDivergent Series,
Summability and Resurgence
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.
, 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.
