%0 Generic %1 ubriaco2012scalar %A Ubriaco, Marcelo R. %D 2012 %K fractals %T Scalar curvature of systems with fractal distribution functions %U http://arxiv.org/abs/1205.2591 %X 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 $q1$ the scalar curvature is closer to zero implying that the fractal bosonic and fermionic systems are more stable than the standard ones.

@misc{ubriaco2012scalar, abstract = {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.}, added-at = {2012-05-15T00:35:10.000+0200}, author = {Ubriaco, Marcelo R.}, biburl = {https://www.bibsonomy.org/bibtex/2c1988f30c9d6ef54f284bdc995fca13e/vakaryuk}, description = {Scalar curvature of systems with fractal distribution functions}, interhash = {e26df64132902dee5f05ec13bc862b89}, intrahash = {c1988f30c9d6ef54f284bdc995fca13e}, keywords = {fractals}, note = {cite arxiv:1205.2591 Comment: 9 pages, 2 figures}, timestamp = {2012-05-15T00:35:11.000+0200}, title = {Scalar curvature of systems with fractal distribution functions}, url = {http://arxiv.org/abs/1205.2591}, year = 2012 }