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Article
Models for the size distribution of businesses in a price driven market
A microscopic model of aggregation and fragmentation is introduced to investigate the size distribution of businesses. In the model, businesses are constrained to comply with the market price, as expected by t...
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Article
Transition from coherence to bistability in a model of financial markets
We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is ...
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Article
Studies of Crack Pattern in Two Dimensional Media as Resulting From Ion Beam like or Freezing Destruction
We have numerically studied various models for crack formation in the slow dynamical regime. Two different aspects are presented herein: (i) sputtering with reconstruction and (ii) internal destruction of a po...
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Article
One-Dimensional Hamiltonian for Columnar Liquid Crystals
A one-dimensional Hamiltonian is derived upon microscopic considerations to model the columnar phases of a liquid crystal made of molecules of discrete rotational symmetry. The study deals with the ground stat...