Properties of a renewal process approximation for a spin market model

Muffasir Badshah; Robert Boyer; Ted Theodosopoulos

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Properties of a renewal process approximation for a spin market model

Muffasir Badshah·Robert Boyer·Ted Theodosopoulos

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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.

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Muffasir Badshah, Robert Boyer, Ted Theodosopoulos. 2005-01-16. Properties of a renewal process approximation for a spin market model. https://arxiv.org/abs/math/0501248

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