| Speaker: | Boris Hasselblatt (Tufts University) |
|---|---|
| Title: | Increasing the complexity of free particle motion by breaking its mechanical nature |
| Date (JST): | Thu, Nov 01, 2018, 15:30 - 17:00 |
| Place: | Seminar Room B |
| Related File: | 2171.pdf |
| Abstract: |
Starting from free particle motion of a negatively curved surface, a Dehn-like surgery on the phase space produces new flows that retain the contact property of a mechanical flow but no longer have a configuration space and are otherwise unusual and interesting. They are no longer topologically equivalent to a flow of an algebraic nature, and they have faster orbit growth. A like surgery on the purely periodic fiber flow makes it parabolic or hyperbolic, a change from no complexity to polynomial or exponential complexity, respectively. Moreover, in all cases the "contact structure" alone forces similar complexity. Finally, an idea by Vinhage promises a quantification of the complexity increase. |
