Escape rate and conditional escape rate from a probabilistic point of view. (English) Zbl 1480.37015
The authors prove that for a certain sequence of nested sets, the localized escape rate converges to the extremal index, under a suitable condition. They further establish the equivalence between the local escape rate for entry times and the local escape rate for returns. They illustrate these results with examples.
Reviewer: Jinqiao Duan (Chicago)
MSC:
| 37A50 | Dynamical systems and their relations with probability theory and stochastic processes |
| 37A30 | Ergodic theorems, spectral theory, Markov operators |
| 37C25 | Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics |
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