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- van den Berg, J. (author)
Sharpness versus robustness of the percolation transition in 2d contact processes
- Article/chapterEnglish2015
Publisher, publication year, extent ...
- Elsevier BV,2015
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:uu-247413
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-247413URI
- https://doi.org/10.1016/j.spa.2014.09.010DOI
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- Language:English
- Summary in:English
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Notes
- 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).
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- Contact process
- Percolation
- Sharp thresholds
- Approximate zero-one law
Added entries (persons, corporate bodies, meetings, titles ...)
- Björnberg, Jakob E.Uppsala universitet,Tillämpad matematik och statistik (author)
- Heydenreichd, M. (author)
- Uppsala universitetTillämpad matematik och statistik (creator_code:org_t)
Related titles
- In:Stochastic Processes and their Applications: Elsevier BV125:2, s. 513-5370304-41491879-209X
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