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|Title:||Efficiency and persistence in models of adaptation|
|Keywords:||Statistical mechanics;Disordered systems and neural networks|
|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.|
|Appears in Collections:||Mathematical Physics|
Dept of Mathematics Research Papers
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