Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979603 | Physica A: Statistical Mechanics and its Applications | 2007 | 9 Pages |
Abstract
This paper introduces the truncator map as a dynamical system on the space of configurations of an interacting particle system. We represent the symbolic dynamics generated by this system as a non-commutative algebra and classify its periodic orbits using properties of endomorphisms of the resulting algebraic structure. A stochastic model is constructed on these endomorphisms, which leads to the classification of the distribution of periodic orbits for random truncator maps. This framework is applied to investigate the periodic transitions of Bornholdt's spin market model.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Ted Theodosopoulos, Robert Boyer,