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Stable systems with power law conditions for Poisson hail

Part of: Equilibrium statistical mechanics Special processes

Published online by Cambridge University Press:  22 August 2023

Thomas Mountford  and
Zhe Wang Open the ORCID record for Zhe Wang [Opens in a new window]
Thomas Mountford*
Affiliation:
École Polytechnique Fédérale de Lausanne
Zhe Wang*
Affiliation:
École Polytechnique Fédérale de Lausanne
*
*Postal address: MA B1 517 (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland.
*Postal address: MA B1 517 (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland.
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Abstract

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.

Keywords

Workloadcritical moments

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory 82B44: Disordered systems (random Ising models, random Schrödinger operators, etc.)
Type
Original Article
Information
Advances in Applied Probability , Volume 56 , Issue 1 , March 2024 , pp. 315 - 353
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of Applied Probability Trust

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References

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Wang, Z. (2022). Stable systems with power law conditions for Poisson hail II. In preparation.Google Scholar