- Series
- Dynamical Systems Working Seminar
- Time
- Friday, October 27, 2017 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 154
- Speaker
- Hassan Attarchi – Georgia Tech
- Organizer
- Adrian Perez Bustamante
This presentation is about the results of a paper by Y. Sinai in
1970. Here, I will talk about dynamical systems which resulting from the
motion of a material point in domains with strictly convex boundary,
that is, such that the operator of the second quadratic form is
negative-definite at each point of the boundary, where the boundary is
taken to be equipped with the field of inward normals. It was proved
that such systems are ergodic and are K-systems. The basic method of
investigation is the construction of transversal foliations for such
systems and the study of their properties.