{ "id": "math/0501248", "version": "v1", "published": "2005-01-16T17:15:58.000Z", "updated": "2005-01-16T17:15:58.000Z", "title": "Properties of a renewal process approximation for a spin market model", "authors": [ "Muffasir Badshah", "Robert Boyer", "Ted Theodosopoulos" ], "comment": "4 pages, 6 figures, submitted to the 4th International Workshop on Computational Intelligence in Economics and Finance, 2005", "categories": [ "math.PR" ], "abstract": "In this short note we investigate the natur of the phase transitions in a spin market model as a function of the interaction strength between local and global effects. We find that the stochastic dynamics of this stylized market model exhibit a periodicity whose dependence on the coupling constant in the Ising-like Hamiltonian is robust to changes in the temperature and the size of the market.", "revisions": [ { "version": "v1", "updated": "2005-01-16T17:15:58.000Z" } ], "analyses": { "subjects": [ "62P05", "91B26", "60K35" ], "keywords": [ "spin market model", "renewal process approximation", "properties", "phase transitions", "short note" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......1248B" } } }