The complete convergence theorem holds for contact processes on open clusters of \(\mathbb Z^{d }\times \mathbb Z^{+}\)
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Publication:2390970
DOI10.1007/s10955-009-9756-7zbMath1177.82039OpenAlexW1993133406MaRDI QIDQ2390970
Publication date: 10 August 2009
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-009-9756-7
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23)
Related Items (9)
Critical value for contact processes on clusters of oriented bond percolation ⋮ Critical value for the contact process with random recovery rates and edge weights on regular tree ⋮ Law of large numbers for the SIR model with random vertex weights on Erdős-Rényi graph ⋮ Contact process on regular tree with random vertex weights ⋮ The complete convergence theorem holds for contact processes in a random environment on \({\mathbb Z}^d \times {\mathbb Z}^{+}\) ⋮ Contact processes with random recovery rates and edge weights on complete graphs ⋮ Phase transition for the large-dimensional contact process with random recovery rates on open clusters ⋮ Phase transition for SIR model with random transition rates on complete graphs ⋮ Exponential rate for the contact process extinction time
Cites Work
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- Oriented percolation in two dimensions
- The basic contact processes
- The contact process in a random environment
- Contact interactions on a lattice
- Additive set-valued Markov processes and graphical methods
- Extinction of contact and percolation processes in a random environment
- The branching random walk and contact process on Galton-Watson and nonhomogeneous trees
- The critical contact process dies out
- The critical contact process in a randomly evolving environment dies out
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