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http://bura.brunel.ac.uk/handle/2438/309
Title: | Efficiency and persistence in models of adaptation |
Authors: | D'Hulst, R Rodgers, GJ |
Keywords: | Statistical mechanics;Disordered systems and neural networks |
Issue Date: | 2001 |
Publisher: | Elsevier Science |
Citation: | Physica A, 324(1): 323-329(7), Jun 2003 |
Abstract: | A 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. |
URI: | http://www.ingentaconnect.com/content/els/03784371 http://bura.brunel.ac.uk/handle/2438/309 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
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