Stochastic domination for a hidden Markov chain with applications to the contact process in a randomly evolving environment

DOI10.1214/0091179606000001187zbMath1126.82024arXiv0711.3597OpenAlexW3101933610MaRDI QIDQ2460326

Erik I. Broman

Publication date: 14 November 2007

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3597

zbMATH Keywords

populationMarkov chainconnected graphsdiseaseStrassens theorem

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Medical epidemiology (92C60)

Related Items (12)

Social contact processes and the partner model ⋮ The contact process in a dynamic random environment ⋮ Growth of a Population of Bacteria in a Dynamical Hostile Environment ⋮ A stochastic comparison result for the multitype contact process with unequal death rates ⋮ The contact process with switching ⋮ Contact process on a dynamical long range percolation ⋮ Contact process in an evolving random environment ⋮ The contact process with dynamic edges on \(\mathbb{Z}\) ⋮ Population dynamics and statistical physics in synergy. Abstracts from the workshop held March 6--12, 2022 ⋮ The complete convergence theorem holds for contact processes in a random environment on \({\mathbb Z}^d \times {\mathbb Z}^{+}\) ⋮ Complete convergence theorem for a two-level contact process ⋮ Sharpness versus robustness of the percolation transition in 2D contact processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The contact process in a random environment
• The survival of one-dimensional contact processes in random environments
• On the critical behavior of the contact process in deterministic inhomogeneous environments
• Persistent survival of one-dimensional contact processes in random environments
• Stochastic domination: the contact process, Ising models and FKG measures
• Dynamical stability of percolation for some interacting particle systems and \(\varepsilon\)-movability
• The critical contact process dies out
• A poisson process whose rate is a hidden Markov process
• Survival of multidimensional contact process in random environments

This page was built for publication: Stochastic domination for a hidden Markov chain with applications to the contact process in a randomly evolving environment