A dichotomy on the local escape rate
(University of Oklahoma)
Time and Place
Monday, October 15, 2018
In this talk I will discuss my recent joint work with N. Haydn on the local escape rate for open dynamical systems, where a hole is placed in the system, and a point is removed from the system once its orbit hits the hole. A dichotomy is obtained: the local escape rate is one if the hole is placed around a non-periodic point, and is equal to the extremal index if the center of the hole is a periodic point.
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