A stochastic comparison result for the multitype contact process with unequal death rates

DOI10.1016/j.spl.2020.108763zbMath1437.60012arXiv1908.06628OpenAlexW2968415046MaRDI QIDQ2173363

Joseph P. Stover

Publication date: 22 April 2020

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06628

zbMATH Keywords

stochastic orderinteracting particle systemattractivemultitype contact process

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

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• Stochastic order and attractiveness for particle systems with multiple births, deaths and jumps
• Ergodic theorems for the multitype contact process
• Additive set-valued Markov processes and graphical methods
• An improved upper bound for the critical value of the contact process on \(\mathbb{Z}^d\) with \(d \geq 3\)
• The asymmetric multitype contact process
• The contact process in a dynamic random environment
• Stochastic domination for a hidden Markov chain with applications to the contact process in a randomly evolving environment

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