Applying monoid duality to a double contact process

DOI10.1214/23-ejp961arXiv2209.06017OpenAlexW4378716740MaRDI QIDQ6165979

Jan Niklas Latz, Jan M. Swart

Publication date: 2 August 2023

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06017

zbMATH Keywords

dualitycontact processinteracting particle systemmonoidannihilating branching processcancellative contact process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Algebraic monoids (20M32)

Cites Work

• Tightness of voter model interfaces
• Annihilating branching processes
• Contact interactions on a lattice
• On a class of set-valued Markov processes
• Improved upper bounds for the contact process critical value
• On the notion(s) of duality for Markov processes
• Voter models with heterozygosity selection
• The critical contact process dies out
• Markov Chains
• A method for finding bounds on critical values for non-attractive interacting particle systems
• Commutative monoid duality
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