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Properties of a renewal process approximation for a spin market model
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Properties of a renewal process approximation for a spin market model

Muffasir Badshah, Robert Boyer and Ted Theodosopoulos
16 Jan 2005
url
https://doi.org/10.48550/arxiv.math/0501248View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Mathematics - Probability
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.

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