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Sharpness versus ro...
Sharpness versus robustness of the percolation transition in 2d contact processes
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van den Berg, J. (författare)
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- Björnberg, Jakob E. (författare)
- Uppsala universitet,Tillämpad matematik och statistik
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Heydenreichd, M. (författare)
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(creator_code:org_t)
- Elsevier BV, 2015
- 2015
- Engelska.
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Ingår i: Stochastic Processes and their Applications. - : Elsevier BV. - 0304-4149 .- 1879-209X. ; 125:2, s. 513-537
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study versions of the contact process with three states, and with infections occurring at a rate depending on the overall infection density. Motivated by a model described in Kefi et al. (2007) for vegetation patterns in arid landscapes, we focus on percolation under invariant measures of such processes. We prove that the percolation transition is sharp (for one of our models this requires a reasonable assumption). This is shown to contradict a form of 'robust critical behaviour' with power law cluster size distribution for a range of parameter values, as suggested in Kefi et al. (2007).
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
Nyckelord
- Contact process
- Percolation
- Sharp thresholds
- Approximate zero-one law
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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