A simple proof of exponential decay of subcritical contact processes

DOI10.1007/s00440-016-0741-1zbMath1383.82038arXiv1603.09142OpenAlexW2963599264WikidataQ115607609 ScholiaQ115607609MaRDI QIDQ681514

Jan M. Swart

Publication date: 12 February 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.09142

zbMATH Keywords

eigenmeasuresharpness of the phase transitionsubcritical 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) Percolation (82B43) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items

Bootstrap percolation, probabilistic cellular automata and sharpness, Contact process on a dynamical long range percolation

Cites Work

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• A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
• A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\)
• The contact process seen from a typical infected site
• Survival of contact processes on the hierarchical group
• Exponential decay for subcritical contact and percolation processes
• Sharpness of the phase transition in percolation models
• Subcritical contact processes seen from a typical infected site
• Percolation