Dynamical Systems with Elastic Reflections

Series: 
Dynamical Systems Working Seminar
Friday, October 27, 2017 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 154
,  
Georgia Tech
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.