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- W2046568802 abstract "We consider interacting particle systems on $Z$ which allow five types of pairwise interaction: Annihilation, Birth, Coalescence, Death and Exclusion with corresponding rates a, b,c, d, e . We show that whatever the values of a, c, d, e, if the birthrate is high enough there is a positive probability the particle system will survive starting from any finite occupied set. In particular: an IPS with rates a b c d e has a positive probability of survival if $$ b > 4d + 6a, quad c + a geq d + e$$ or $$ b > 7d + 3a - 3c + 3e, quad c + a < d + e.$$ We create a suitable supermartingale by extending the method used by Holley and Liggett in their treatment of the contact process." @default.
- W2046568802 created "2016-06-24" @default.
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- W2046568802 date "2000-06-01" @default.
- W2046568802 modified "2023-09-25" @default.
- W2046568802 title "The survival of nonattractive interacting particle systems on Z" @default.
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- W2046568802 doi "https://doi.org/10.1214/aop/1019160329" @default.
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