Phase transition for the large-dimensional contact process with random recovery rates on open clusters

DOI10.1007/S10955-016-1660-3zbMath1360.82038arXiv1409.7248OpenAlexW2346147836MaRDI QIDQ523275

Xiaofeng Xue

Publication date: 20 April 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7248

zbMATH Keywords

contact processtransitionpercolation phaserandom recovery rates

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (4)

Law of large numbers for the SIR model with random vertex weights on Erdős-Rényi graph ⋮ Contact processes with random recovery rates and edge weights on complete graphs ⋮ Phase transition for SIR model with random transition rates on complete graphs ⋮ Asymptotic of the critical value of the large-dimensional SIR epidemic on clusters

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• The complete convergence theorem holds for contact processes on open clusters of \(\mathbb Z^{d }\times \mathbb Z^{+}\)
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• Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas
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