Stable systems with power law conditions for Poisson hail

Stable systems with power law conditions for Poisson hail

We consider Poisson hail models and characterize up to boundaries the collection of critical moments which guarantee stability. In particular, we treat the case of infinite speed of propagation.

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Veröffentlicht in:Advances in applied probability 2024-03, Vol.56 (1), p.315-353
Hauptverfasser: Mountford, Thomas, Wang, Zhe
Format: Artikel
Sprache:eng
Schlagworte:
Employment
Original Article
Poisson density functions
Power law
Workloads
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Beschreibung
Zusammenfassung:We consider Poisson hail models and characterize up to boundaries the collection of critical moments which guarantee stability. In particular, we treat the case of infinite speed of propagation.
ISSN:0001-8678
1475-6064
DOI:10.1017/apr.2023.23