This is a tutorial on some of the main ideas in KAM theory. The goal
is to present the background and to explain and compare somewhat
informally some of the main methods of proof. It is an expanded
version of the lectures given by the author in the AMS Summer Research
Institute on Smooth Ergodic Theory Seattle, 1999. The style is
pedagogical and expository and it only aims to be an introduction to
the primary literature. It does not aim to be a systematic survey nor
to present full proofs. It only covers the classical results and not
the most modern ones. Comments and suggestions for improvement are
welcome. We are planning a revised and expanded version.
Author Institutional Affiliation | Rafael de la Llave
Mathematics Department
University of Texas at Austin
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Author Email | |
Tutorial Level | Advanced Tutorial |
Description | Tutorial |
Contest Entry | No |