Dynamical systems in which the orbit of a point may escape from the state space through a hole are classified as open dynamical systems. Escape rate represents the average rate at which the orbits escape into the hole. This depends on the size and the position of the hole in the state space. Larger the escape rate, faster the orbits terminate.
In this talk, we will present results on an open dynamical system namely subshifts of finite type with a hole. We will examine the dependence of the escape rate on the position and the size of the hole, using techniques from ergodic theory, symbolic dynamics and combinatorics.
Zoom link: https://us02web.zoom.us/j/88670406480
Meeting ID: 886 7040 6480
This is part of the Bangalore Probability Seminar Series. For details of past and upcoming seminars kindly see Link