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DC Field | Value | Language |
---|---|---|
dc.contributor.author | D'Hulst, R | - |
dc.contributor.author | Rodgers, GJ | - |
dc.coverage.spatial | 9 | en |
dc.date.accessioned | 2006-10-27T14:07:26Z | - |
dc.date.available | 2006-10-27T14:07:26Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Physica A, 308(1): 443-459(17), May 2002 | en |
dc.identifier.uri | http://www.ingentaconnect.com/content/els/03784371 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/308 | - |
dc.description.abstract | We show that a cut-and-paste model to mimic a trial-and-error process of adaptation displays two pairs of percolation and depinning transitions, one for persistence and the other for efficiency. The percolation transition signals the onset of a property and the depinning transition, the growth of the same property. Despite its simplicity, the cut-and-paste model is qualitatively the same as the Minority Game. A majority cut-and-paste model is also introduced, to mimic the spread of a trend. When both models are iterated, the majority model reaches a frozen state while the minority model converges towards an alternate state. We show that a transition from the frozen to the alternate state occurs in the limit of a non-adaptive system. | en |
dc.format.extent | 466724 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Elsevier Science | en |
dc.subject | Condensed matter | en |
dc.subject | Statistical mechanics | en |
dc.title | Percolation and depinning transitions in cut-and-paste models of adaptation | en |
dc.type | Research Paper | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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Fulltext.pdf | 455.79 kB | Adobe PDF | View/Open |
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