Survival of nearest-particle systems with low birth rate (Q1824293)
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scientific article; zbMATH DE number 4117621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Survival of nearest-particle systems with low birth rate |
scientific article; zbMATH DE number 4117621 |
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Survival of nearest-particle systems with low birth rate (English)
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1989
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Nearest particle systems on \({\mathbb{Z}}\) are constructed, for which the probability rates of birth of a particle between two nearest particles are \(1+\epsilon\) whereas the death rate of any particle is 1, and the system survives for all times. The proof is based on the comparison with a contact discrete-time process studied formerly by \textit{R. Durrett} [ibid. 12, 999-1040 (1984; Zbl 0567.60095)].
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Nearest particle systems
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0.90972173
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0.9028306
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0.8635745
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0.8572521
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0.8553907
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