Seminar
| Parent Program: | -- |
|---|---|
| Location: | UC Berkeley Math (Evans Hall 60) |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
A lot of problems of classical mechanics lead us to the study of the orientation and area preserving diffeomorphisms of surfaces. Among their invariant sets, the simplest ones are the periodic orbits, but more curious invariant sets often exist : Cantor subsets. We will introduce the setting and explain why such invariant Cantor sets often exist. We will focus on two kinds of them: the horseshoes and Denjoy sets and explain that in some sense, they are linked but different.
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