The cellular automata are discrete models able to simulate natural phenomena. In particular, I have studied the dynamics between classic spin through a model called Q2R. This cellular automaton possesses properties as reversible dynamics, conserves a quantity to energy-like, and developed a phase transition in two-dimensional like the Ising model.  

 We study the formation of human-like languages through an agent-based model. Our focus is to use statistical mechanics and graph theory to understand the dynamics.