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dc.contributor.authorD'Hulst, R-
dc.contributor.authorRodgers, GJ-
dc.identifier.citationPhysica A, 324(1): 323-329(7), Jun 2003en
dc.description.abstractA cut-and-paste model which mimics a trial-and-error process of adaptation is introduced and solved. The model, which can be thought of as a diffusion process with memory, is characterized by two properties, efficiency and persistence. We establish a link between these properties and determine two transitions for each property, a percolation transition and a depinning transition. If the adaptation process is iterated, the antipersistent state becomes an attractor of the dynamics. Extensions to higher dimensions are briefly discussed.en
dc.format.extent271051 bytes-
dc.publisherElsevier Scienceen
dc.subjectStatistical mechanicsen
dc.subjectDisordered systems and neural networksen
dc.titleEfficiency and persistence in models of adaptationen
dc.typeResearch Paperen
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers
Mathematical Sciences

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