Divergent Series, Summability and Resurgence III, 1st ed. 2016 Resurgent Methods and the First Painlevé Equation Lecture Notes in Mathematics Series, Vol. 2155
Auteur : Delabaere Eric
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.
Features a thorough resurgent analysis of
the celebrated non-linear differential equation Painlevé I
Includes new specialized results in the
theory of resurgence
For the first time, higher order Stokes phenomena of Painlevé I are made explicit by means of the so-called bridge equation
Date de parution : 06-2016
Ouvrage de 230 p.
15.5x23.5 cm
Mots-clés :
34Mxx, 34M30, 40Cxx, 35Q15, 34M50, 30B40, 30D05, 37Fxx, 37F99, 34M55, Divergent Series, Summability, Resurgence, First Painlevé Equation, Riemann-Hilbert Problem, ordinary differential equations