In this paper, we provide an insight into the emergence of power-law and two-phase behavior in the financial market fluctuations by defining an analytical model for time evolution of stock share prices. The defined model can exhibit bimodal behavior in the supply-demand structure of the market....

Uniqueness of limit Gibbs states of one dimensional models with a unique “stable” ground state is established at low temperatures.

A one-dimensional model having a unique ground state and admitting a phase transition is constructed.