Scalar curvature of systems with fractal distribution functions
  Starting with the relative entropy for two close statistical states we define the metric and calculate the scalar curvature $R$ for systems with classical, boson and fermion fractal distribution functions with moment order parameter $q$. In particular, we find that for $q\neq 1$ the scalar curvature is closer to zero implying that the fractal bosonic and fermionic systems are more stable than the standard ones. 
Marcelo R. Ubriaco
cond-mat.stat-mech math-ph math.MP