Opis: Divergent Series, Summability and Resurgence III 2016 - Eric Delabaere

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 Painleve 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 Painleve 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.Avant-Propos.- Preface to the three volumes.- Preface to this volume.- Some elements about ordinary differential equations.- The first Painleve equation.- Tritruncated solutions for the first Painleve equation.- A step beyond Borel-Laplace summability.- Transseries and formal integral for the first Painleve equation.- Truncated solutions for the first Painleve equation.- Supplements to resurgence theory.- Resurgent structure for the first Painleve equation.- Index.

Szczegóły: Divergent Series, Summability and Resurgence III 2016 - Eric Delabaere

Tytuł: Divergent Series, Summability and Resurgence III 2016
Autor: Eric Delabaere
Wydawnictwo: Springer Verlag
ISBN: 9783319289991
Rok wydania: 2016
Ilość stron: 252
Oprawa: Miękka
Waga: 0.39 kg

Recenzje: Divergent Series, Summability and Resurgence III 2016 - Eric Delabaere