We study stochastic problems with direct relevance for
the understanding of experimental data and for describing
how nature actually works at the microscopic level.
The properties of fluctuations are being used
to describe the time evolution of a variety of dynamical systems.
In particular, our
focus is on:

COMPLEX SYSTEMS
:
Analytical tools are also being developed to account for the wide
variety of phenomena which
can be described within
the framework of stochastic processes in terms of complex scaling phenomena.
Stochastic phenomena occurring in real extended physical systems
exhibit different
degrees of correlation. The variance at large t scales as a power law,
of the Hurst exponent H. H ranges from 0 to 1. The value H=0.5
corresponds to the ordinary uncorrelated Brownian motion, while H<0.5 and H>0.5 correspond respectively
to anticorrelated and correlated signals. The analysis of the Hurst exponent is
nowadays considered a
practical instrument in fields as biophysics (DNA sequence, gait
fluctuations), econophysics,
cloud breaking and many others
(read more).

Critical phenomena that result from both quenched disorder
and interaction in electronic systems
(such as disordered inorganic and organic semiconductors and insulators, high-T_{c} superconductors).
The research ultimately aims at investigating the basic physical processes
underlying the functioning of devices based on disordered materials using current noise investigation.
One debated point concerns the mechanism of charge transport and
the role of traps
(read more).