eprintid: 2245 rev_number: 8 eprint_status: archive userid: 6 dir: disk0/00/00/22/45 datestamp: 2014-07-03 12:57:47 lastmod: 2014-07-03 12:57:47 status_changed: 2014-07-03 12:57:47 type: monograph metadata_visibility: show creators_name: Yamasaki, Kazuko creators_name: Matia, Kaushik creators_name: Fu, Dongfeng creators_name: Buldyrev, Sergey V. creators_name: Pammolli, Fabio creators_name: Riccaboni, Massimo creators_name: Stanley, H. Eugene creators_id: creators_id: creators_id: creators_id: creators_id: f.pammolli@imtlucca.it creators_id: massimo.riccaboni@imtlucca.it creators_id: title: A generalized preferential attachment model for complex systems ispublished: unpub subjects: HB subjects: RS divisions: EIC full_text_status: none monograph_type: working_paper abstract: Complex systems can be characterized by classes of equivalency of their elements defined according to system specific rules. We propose a generalized preferential attachment model to describe the class size distribution. The model postulates preferential growth of the existing classes and the steady influx of new classes. We investigate how the distribution depends on the initial conditions and changes from a pure exponential form for zero influx of new classes to a power law with an exponential cutoff form when the influx of new classes is substantial. We apply the model to study the growth dynamics of pharmaceutical industry. date: 2005 number: publisher: ArXiv pages: 11 institution: IMT Institute for Advanced Studies Lucca related_url_url: http://arxiv.org/abs/physics/0502082 citation: Yamasaki, Kazuko and Matia, Kaushik and Fu, Dongfeng and Buldyrev, Sergey V. and Pammolli, Fabio and Riccaboni, Massimo and Stanley, H. Eugene A generalized preferential attachment model for complex systems. Working Paper # /2005 ArXiv (Unpublished)