  The non extensive statistics proposed by C. Tsallis has found wide
applicability, being present even in the description of experimental data from
high energy collisions. A system with a fractal structure in its
energy-momentum space, named thermofractal, was shown to be described
thermodynamically by the non extensive statistics. Due to the many common
features between thermofractals and Hagedorn's fireballs, this system offers
the possibility to investigate the origins of non extensivity in hadronic
physics and in QCD. In this regard, the investigation of the scaling properties
of thermofractals through the renormalization group equation, known as
Callan-Symanzik equation, can be an interesting approach.
