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).