Article ID Journal Published Year Pages File Type
979603 Physica A: Statistical Mechanics and its Applications 2007 9 Pages PDF
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
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