Stylized Facts Generated Through Cellular Automata Models. Case of Study: The Game of Life

dc.creatorCoronel-Brizio, H. F.
dc.creatorHernandez-Montoya, A. R.
dc.creatorRodriguez-Achach, M. E.
dc.creatorStevens-Ramirez, G. A.
dc.date2007-10-01
dc.date.accessioned2026-07-07T08:33:14Z
dc.date.available2026-07-07T08:33:14Z
dc.descriptionIn the present work, a geometrical method to generate a two dimensional random walk by means of a bidimensional Cellular Automaton is presented. We illustrate it by means of Conway's Game of Life with periodical borders, with a large lattice of 3000 x 3000 cells. The obtained random walk is of character anomalous, and its projection to a one dimensional random walk is analyzed, showing that it presents some statistical properties similar to the so-called stylized facts observed in financial time series. We consider that the procedure presented here is important not only because of its simplicity, but also because it could help us to understand and shed light on the stylized facts formation mechanism.
dc.descriptionEconophysics Paper. APFA 6 - Applications of Physics in Financial Analysis. 6th International Conference. 4-7 July. 2007, Lisbon, Portugal
dc.identifierhttps://arxiv.org/abs/0710.0202
dc.identifierhttp://arxiv.org/abs/0710.0202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139059
dc.subjectComputational Physics
dc.subjectData Analysis, Statistics and Probability
dc.titleStylized Facts Generated Through Cellular Automata Models. Case of Study: The Game of Life
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