{ "id": "cond-mat/0105189", "version": "v1", "published": "2001-05-09T11:10:05.000Z", "updated": "2001-05-09T11:10:05.000Z", "title": "Efficiency and persistence in models of adaptation", "authors": [ "R. D'Hulst", "G. J. Rodgers" ], "comment": "4 pages, 4 figures, submitted to publication", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn", "q-bio" ], "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.", "revisions": [ { "version": "v1", "updated": "2001-05-09T11:10:05.000Z" } ], "analyses": { "keywords": [ "persistence", "efficiency", "trial-and-error process", "diffusion process", "cut-and-paste model" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001cond.mat..5189D" } } }