Targets and holes

Targets and holes

We address the extreme value problem of a one-dimensional dynamical system approaching a fixed target while constrained to avoid a fixed set, which can be thought of as a small hole. The presence of the latter influences the extremal index which depends explicitly on the escape rate.

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Veröffentlicht in:Proceedings of the American Mathematical Society 2021-08, Vol.149 (8), p.3293-3306
Hauptverfasser: Giulietti, P., Koltai, P., Vaienti, S.
Format: Artikel
Sprache:eng
Schlagworte:
Dynamical Systems
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Beschreibung
Zusammenfassung:We address the extreme value problem of a one-dimensional dynamical system approaching a fixed target while constrained to avoid a fixed set, which can be thought of as a small hole. The presence of the latter influences the extremal index which depends explicitly on the escape rate.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/15384