Download e-book for iPad: Divergent Series, Summability and Resurgence I: Monodromy by Claude Mitschi,David Sauzin

By Claude Mitschi,David Sauzin

offering an common creation to analytic continuation and monodromy, the 1st a part of this quantity applies those notions to the neighborhood and international learn of advanced linear differential equations, their formal strategies at singular issues, their monodromy and their differential Galois teams. The Riemann-Hilbert challenge is mentioned from Bolibrukh’s perspective.
the second one half expounds 1-summability and Ecalle’s conception of resurgence lower than relatively basic stipulations. It includes quite a few examples and provides an research of the singularities within the Borel airplane through “alien calculus”, which gives an entire description of the Stokes phenomenon for linear or non-linear differential or distinction equations.
the 1st of a sequence of 3, entitled Divergent sequence, Summability and Resurgence, this quantity is aimed toward graduate scholars, mathematicians and theoretical physicists drawn to geometric, algebraic or neighborhood analytic homes of dynamical platforms. It contains invaluable workouts with ideas. the must haves are a operating wisdom of simple complicated research and differential algebra.

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Divergent Series, Summability and Resurgence I: Monodromy and Resurgence: 1 (Lecture Notes in Mathematics) by Claude Mitschi,David Sauzin

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