EVENT DETAILS AND ABSTRACT

Title: Where to Place a Hole to Achieve a Maximal Escape Rate
Speaker: Professor Leonid Bunimovich
Speaker Info: Georgia Tech
Brief Description:
Special Note:
Abstract:

A natural question of how the survival probability depends upon a position of the hole was seemingly never addressed in the theory of open dynamical systems. This dependence occurred to be very essential for some strongly chaotic (uniformly hyperbolic) systems. It is closely related to the distribution of periodic orbits. It seems obvious that the bigger the hole is the faster is the escape through that hole. However, generally it is not true, and some properties of dynamics may play a role comparable to the size of the hole. The main result is valid for all finite times (starting with some moment) which is unusual in dynamical systems theory where typically statements are asymptotic when time tends to infinity. Such finite time results may have many applications as the problem in the title has by itself.