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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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Bibliographic Details
Published in:Advances in applied probability 2024-03, Vol.56 (1), p.315-353
Main Authors: Mountford, Thomas, Wang, Zhe
Format: Article
Language:English
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Description
Summary: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