Statistical physics of fractal dynamical systems

My early investigations in the group of Paolo Grigolini (Department of Physics, Pisa (Italy)) aimed to establish a link between the microscopic dynamics (scaling of long-range temporal correlations) and the macroscopic thermodynamics (Kolmogorov and Tsallis entropy) of unidimensional dynamical systems exhibiting long-range fractal properties (Buiatti et al., 1999a, Buiatti et al., 1999b).

References:

Buiatti M, Grigolini P, Montagnini A, 

Dynamic Approach to the Thermodynamics of Superdiffusion, 

Physical Review Letters 82, 3383-3387 (1999a). 

Buiatti M, Grigolini P, Palatella L, 

A non extensive approach to the entropy of symbolic sequences, 

Physica A 268, 214 (1999b).