✦ LIBER ✦

Dynamical Systems and Small Divisors: Lectures Given at the Cime Summer School, Held in Cetraro

✍ Scribed by Stimson, S. Kuksin, Jean-Christophe Yoccoz (Editor), S., Kuksin R. J., Yoccoz J. Ch. (Ed)

Book ID: 127404536
Year: 2002
Tongue: English
Weight: 969 KB
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.

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