Disordered systems are studied (the method of replicas and the method of cavity). It is possible solving optimization problems that lacked solution until today in the sphere of Statistical Physics, in connection with NP-complete problem, to determine the number of colors with which a random lattice of c conectividad can be colored, and the Theory of Games to determine the optimization of agents with limited resources and where information changes in time. There are also suggested and tested polynomial algorithms that allow facing the solution of cases that could not be solved before.

The results were published or accepted to be published in prestigious magazines, such as Physical Review Letters and Europhysics Letters.