Microscopic, where theories for molecular, atomic, nuclear and subnuclear phenomena are considered in a combined approach of statistical mechanics, quantum mechanics and field quantum field theory. In our laboratory there is a special interest to develop and understand the natural extensions of concepts like interfacial tension, friction and viscosity to nuclear and subnuclear scales. The information contained in the fragmentation processes in molecular, atomic, nuclear and subnuclear collisions can be analyzed through very powerful and elegant tools related to fractal measure theory. Stability of nuclear systems is reviewed within the context of nonlinear density dependent alpha particle models based on Skyrme-like effective forces. Chaos and self-organization features are revisited for these systems. Collective excitations of continuum in very light nuclei are studied under a relativistic approach with scalar and vectorial nucleon-nucleus optical potentials.

Mesoscopic, where particular details of objects at microscopic scales are disregarded and these microscopic complex objects become the new building blocks of even bigger objects. This simplification is not going to change the essential physics behind those systems at intermediate scales.Within that scale range, problems related to molecules and their interactions, chemical reactions and their kinetics, interfacial phenomena, colloid and dispersion physics, transport phenomena in disordered media, aggregation phenomena, physics of nanostructures, chaos and self-organization at intermediate scales and cellular cooperative phenomena like bacteria, tumor and normal tissue growth, immunological and neural networks related to physiological systems and their interactions, are going to be studied following a very cross-disciplinary approach.

Macroscopic, where the objects to be studied belong to a human or even bigger scale.The main subject to be considered is continuous media theory, including fluid mechanics and dynamics, the related transport phenomena and self-organization at large scales. Special attention is devoted to the combination of gauge, elasticity and defect theories applied to the study of fracture and deformation of material media. The solution of inverse problems related to wave propagation phenomena in media of different nature and the role of time scales in the continuous media characterization is another topic of interest. Stochastic methods based on simulated annealing procedures are used in the inversion of Laplace and Stieltjes transforms. Particular applications to nuclear physics, relaxometry in nuclear magnetic resonance, medical physics, geophysics, transport phenomena in porous media and dispersions are now in progress.